What is the Greatest Common Factor of 63492 and 63501?

Greatest common factor (GCF) of 63492 and 63501 is 3.

GCF(63492,63501) = 3

We will now calculate the prime factors of 63492 and 63501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63492 and 63501.

How to find the GCF of 63492 and 63501?

We will first find the prime factorization of 63492 and 63501. After we will calculate the factors of 63492 and 63501 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 63501

Prime factors of 63501 are 3, 61, 347. Prime factorization of 63501 in exponential form is:

63501 = 3¹ × 61¹ × 347¹

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 63501

List of positive integer factors of 63501 that divides 63492 without a remainder.

1, 3, 61, 183, 347, 1041, 21167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63492 and 63501. The biggest common factor number is the GCF number.
So the greatest common factor 63492 and 63501 is 3.

Also check out the Least Common Multiple of 63492 and 63501