GCF of 72 and 18 by Prime Factorization Prime factorization of 72 and 18 is (2 × 2 × 2 × 3 × 3) and (2 × 3 × 3) respectively. As visible, 72 and 18 have common prime factors. Hence, the GCF of 72 and 18 is 2 × 3 × 3 = 18.
What are the common factor of 18 and 72?
The factors of 18 are 1, 2, 3, 6, 9 and 18. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. So, the Greatest Common Factor for these numbers is 18 because it divides all them without a remainder.
Which is the prime factorization of 18 and 72?
We will first find the prime factorization of 18 and 72. After we will calculate the factors of 18 and 72 and find the biggest common factor number . Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is: Prime factors of 72 are 2, 3. Prime factorization of 72 in exponential form is:
Which is the greatest common factor of 18 and 27?
The occurrences of common prime factors of 18 and 27 are 3 and 3. So the greatest common factor of 18 and 27 is 3 x 3 = 9. The prime factorization of 20 is 2 x 2 x 5 = 20. The prime factorization of 50 is 2 x 5 x 5 = 50. The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120.
How is the greatest common factor ( GCF ) calculated?
Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get the GCF. You will see that as numbers get larger the prime factorization method may be easier than straight factoring. The prime factorization of 18 is 2 x 3 x 3 = 18.
Which is the greatest prime factor in the world?
The occurrences of common prime factors of 18 and 27 are 3 and 3. So the greatest common factor of 18 and 27 is 3 x 3 = 9. The prime factorization of 20 is 2 x 2 x 5 = 20. The prime factorization of 50 is 2 x 5 x 5 = 50. The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120. The occurrences of common prime factors of 20, 50 and 120 are 2 and 5.
