What is the Greatest Common Factor of 62484 and 62496?

Greatest common factor (GCF) of 62484 and 62496 is 12.

GCF(62484,62496) = 12

We will now calculate the prime factors of 62484 and 62496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62484 and 62496.

How to find the GCF of 62484 and 62496?

We will first find the prime factorization of 62484 and 62496. After we will calculate the factors of 62484 and 62496 and find the biggest common factor number .

Step-1: Prime Factorization of 62484

Prime factors of 62484 are 2, 3, 41, 127. Prime factorization of 62484 in exponential form is:

62484 = 2² × 3¹ × 41¹ × 127¹

Step-2: 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-3: Factors of 62484

List of positive integer factors of 62484 that divides 62484 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 127, 164, 246, 254, 381, 492, 508, 762, 1524, 5207, 10414, 15621, 20828, 31242

Step-4: Factors of 62496

List of positive integer factors of 62496 that divides 62484 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62484 and 62496. The biggest common factor number is the GCF number.
So the greatest common factor 62484 and 62496 is 12.

Also check out the Least Common Multiple of 62484 and 62496