What is the Greatest Common Factor of 62672 and 62678?

Greatest common factor (GCF) of 62672 and 62678 is 2.

GCF(62672,62678) = 2

We will now calculate the prime factors of 62672 and 62678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62672 and 62678.

How to find the GCF of 62672 and 62678?

We will first find the prime factorization of 62672 and 62678. After we will calculate the factors of 62672 and 62678 and find the biggest common factor number .

Step-1: Prime Factorization of 62672

Prime factors of 62672 are 2, 3917. Prime factorization of 62672 in exponential form is:

62672 = 2⁴ × 3917¹

Step-2: Prime Factorization of 62678

Prime factors of 62678 are 2, 7, 11, 37. Prime factorization of 62678 in exponential form is:

62678 = 2¹ × 7¹ × 11² × 37¹

Step-3: Factors of 62672

List of positive integer factors of 62672 that divides 62672 without a remainder.

1, 2, 4, 8, 16, 3917, 7834, 15668, 31336

Step-4: Factors of 62678

List of positive integer factors of 62678 that divides 62672 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 121, 154, 242, 259, 407, 518, 814, 847, 1694, 2849, 4477, 5698, 8954, 31339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62672 and 62678. The biggest common factor number is the GCF number.
So the greatest common factor 62672 and 62678 is 2.

Also check out the Least Common Multiple of 62672 and 62678