What is the Greatest Common Factor of 62524 and 62538?

Greatest common factor (GCF) of 62524 and 62538 is 14.

GCF(62524,62538) = 14

We will now calculate the prime factors of 62524 and 62538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62524 and 62538.

How to find the GCF of 62524 and 62538?

We will first find the prime factorization of 62524 and 62538. After we will calculate the factors of 62524 and 62538 and find the biggest common factor number .

Step-1: Prime Factorization of 62524

Prime factors of 62524 are 2, 7, 11, 29. Prime factorization of 62524 in exponential form is:

62524 = 2² × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 62538

Prime factors of 62538 are 2, 3, 7, 1489. Prime factorization of 62538 in exponential form is:

62538 = 2¹ × 3¹ × 7¹ × 1489¹

Step-3: Factors of 62524

List of positive integer factors of 62524 that divides 62524 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 49, 58, 77, 98, 116, 154, 196, 203, 308, 319, 406, 539, 638, 812, 1078, 1276, 1421, 2156, 2233, 2842, 4466, 5684, 8932, 15631, 31262

Step-4: Factors of 62538

List of positive integer factors of 62538 that divides 62524 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1489, 2978, 4467, 8934, 10423, 20846, 31269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62524 and 62538. The biggest common factor number is the GCF number.
So the greatest common factor 62524 and 62538 is 14.

Also check out the Least Common Multiple of 62524 and 62538