What is the Greatest Common Factor of 62524 and 62544?

Greatest common factor (GCF) of 62524 and 62544 is 4.

GCF(62524,62544) = 4

We will now calculate the prime factors of 62524 and 62544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62524 and 62544.

How to find the GCF of 62524 and 62544?

We will first find the prime factorization of 62524 and 62544. After we will calculate the factors of 62524 and 62544 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 62544

Prime factors of 62544 are 2, 3, 1303. Prime factorization of 62544 in exponential form is:

62544 = 2⁴ × 3¹ × 1303¹

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 62544

List of positive integer factors of 62544 that divides 62524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1303, 2606, 3909, 5212, 7818, 10424, 15636, 20848, 31272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62524 and 62544. The biggest common factor number is the GCF number.
So the greatest common factor 62524 and 62544 is 4.

Also check out the Least Common Multiple of 62524 and 62544