What is the Greatest Common Factor of 62524 and 62539?

Greatest common factor (GCF) of 62524 and 62539 is 1.

GCF(62524,62539) = 1

We will now calculate the prime factors of 62524 and 62539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62524 and 62539.

How to find the GCF of 62524 and 62539?

We will first find the prime factorization of 62524 and 62539. After we will calculate the factors of 62524 and 62539 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 62539

Prime factors of 62539 are 62539. Prime factorization of 62539 in exponential form is:

62539 = 62539¹

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 62539

List of positive integer factors of 62539 that divides 62524 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62524 and 62539. The biggest common factor number is the GCF number.
So the greatest common factor 62524 and 62539 is 1.

Also check out the Least Common Multiple of 62524 and 62539