Greatest common factor (GCF) of 14 and 42 is 14. We will now calculate the prime factors of 14 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14 and 42.
What are factors of 42 and 49?
For 42 and 49 those factors look like this:
- Factors for 42: 1, 2, 3, 6, 7, 14, 21, and 42.
- Factors for 49: 1, 7, and 49.
What is the highest common factor of 42 49?
The GCF of 42 and 49 is 7.
How to find the GCF of 42 and 49?
Frequently Asked Questions on GCF of 42 and 49 1 Find the prime factorization of 42 42 = 2 x 3 x 7 2 Find the prime factorization of 49 49 = 7 x 7 3 Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF = 7 4 Therefore, the greatest common factor of 42 and 49 is 7
Which is the greatest common factor of 42 and 14?
After we will calculate the factors of 42 and 14 and find the biggest common factor number . Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is: Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is: List of positive integer factors of 42 that divides 42 without a remainder.
What are the prime factors of 42 and 49?
Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is: Prime factors of 49 are 7. Prime factorization of 49 in exponential form is: List of positive integer factors of 42 that divides 42 without a remainder. List of positive integer factors of 49 that divides 42 without a remainder.
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.
