What is the Greatest Common Factor of 62614 and 62628?

Greatest common factor (GCF) of 62614 and 62628 is 2.

GCF(62614,62628) = 2

We will now calculate the prime factors of 62614 and 62628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62614 and 62628.

How to find the GCF of 62614 and 62628?

We will first find the prime factorization of 62614 and 62628. After we will calculate the factors of 62614 and 62628 and find the biggest common factor number .

Step-1: Prime Factorization of 62614

Prime factors of 62614 are 2, 31307. Prime factorization of 62614 in exponential form is:

62614 = 2¹ × 31307¹

Step-2: Prime Factorization of 62628

Prime factors of 62628 are 2, 3, 17, 307. Prime factorization of 62628 in exponential form is:

62628 = 2² × 3¹ × 17¹ × 307¹

Step-3: Factors of 62614

List of positive integer factors of 62614 that divides 62614 without a remainder.

1, 2, 31307

Step-4: Factors of 62628

List of positive integer factors of 62628 that divides 62614 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 307, 614, 921, 1228, 1842, 3684, 5219, 10438, 15657, 20876, 31314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62614 and 62628. The biggest common factor number is the GCF number.
So the greatest common factor 62614 and 62628 is 2.

Also check out the Least Common Multiple of 62614 and 62628