What is the Greatest Common Factor of 63492 and 63508?

Greatest common factor (GCF) of 63492 and 63508 is 4.

GCF(63492,63508) = 4

We will now calculate the prime factors of 63492 and 63508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63492 and 63508.

How to find the GCF of 63492 and 63508?

We will first find the prime factorization of 63492 and 63508. After we will calculate the factors of 63492 and 63508 and find the biggest common factor number .

Step-1: Prime Factorization of 63492

Prime factors of 63492 are 2, 3, 11, 13, 37. Prime factorization of 63492 in exponential form is:

63492 = 2² × 3¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 63508

Prime factors of 63508 are 2, 15877. Prime factorization of 63508 in exponential form is:

63508 = 2² × 15877¹

Step-3: Factors of 63492

List of positive integer factors of 63492 that divides 63492 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 37, 39, 44, 52, 66, 74, 78, 111, 132, 143, 148, 156, 222, 286, 407, 429, 444, 481, 572, 814, 858, 962, 1221, 1443, 1628, 1716, 1924, 2442, 2886, 4884, 5291, 5772, 10582, 15873, 21164, 31746

Step-4: Factors of 63508

List of positive integer factors of 63508 that divides 63492 without a remainder.

1, 2, 4, 15877, 31754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63492 and 63508. The biggest common factor number is the GCF number.
So the greatest common factor 63492 and 63508 is 4.

Also check out the Least Common Multiple of 63492 and 63508