What is the Greatest Common Factor of 63488 and 63492?

Greatest common factor (GCF) of 63488 and 63492 is 4.

GCF(63488,63492) = 4

We will now calculate the prime factors of 63488 and 63492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63488 and 63492.

How to find the GCF of 63488 and 63492?

We will first find the prime factorization of 63488 and 63492. After we will calculate the factors of 63488 and 63492 and find the biggest common factor number .

Step-1: Prime Factorization of 63488

Prime factors of 63488 are 2, 31. Prime factorization of 63488 in exponential form is:

63488 = 2¹¹ × 31¹

Step-2: 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-3: Factors of 63488

List of positive integer factors of 63488 that divides 63488 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1024, 1984, 2048, 3968, 7936, 15872, 31744

Step-4: Factors of 63492

List of positive integer factors of 63492 that divides 63488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63488 and 63492. The biggest common factor number is the GCF number.
So the greatest common factor 63488 and 63492 is 4.

Also check out the Least Common Multiple of 63488 and 63492