What is the Greatest Common Factor of 62496 and 62504?

Greatest common factor (GCF) of 62496 and 62504 is 8.

GCF(62496,62504) = 8

We will now calculate the prime factors of 62496 and 62504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62496 and 62504.

How to find the GCF of 62496 and 62504?

We will first find the prime factorization of 62496 and 62504. After we will calculate the factors of 62496 and 62504 and find the biggest common factor number .

Step-1: Prime Factorization of 62496

Prime factors of 62496 are 2, 3, 7, 31. Prime factorization of 62496 in exponential form is:

62496 = 2⁵ × 3² × 7¹ × 31¹

Step-2: Prime Factorization of 62504

Prime factors of 62504 are 2, 13, 601. Prime factorization of 62504 in exponential form is:

62504 = 2³ × 13¹ × 601¹

Step-3: Factors of 62496

List of positive integer factors of 62496 that divides 62496 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31, 32, 36, 42, 48, 56, 62, 63, 72, 84, 93, 96, 112, 124, 126, 144, 168, 186, 217, 224, 248, 252, 279, 288, 336, 372, 434, 496, 504, 558, 651, 672, 744, 868, 992, 1008, 1116, 1302, 1488, 1736, 1953, 2016, 2232, 2604, 2976, 3472, 3906, 4464, 5208, 6944, 7812, 8928, 10416, 15624, 20832, 31248

Step-4: Factors of 62504

List of positive integer factors of 62504 that divides 62496 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 601, 1202, 2404, 4808, 7813, 15626, 31252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62496 and 62504. The biggest common factor number is the GCF number.
So the greatest common factor 62496 and 62504 is 8.

Also check out the Least Common Multiple of 62496 and 62504