What is the Greatest Common Factor of 31248 and 31260?

Greatest common factor (GCF) of 31248 and 31260 is 12.

GCF(31248,31260) = 12

We will now calculate the prime factors of 31248 and 31260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31248 and 31260.

How to find the GCF of 31248 and 31260?

We will first find the prime factorization of 31248 and 31260. After we will calculate the factors of 31248 and 31260 and find the biggest common factor number .

Step-1: Prime Factorization of 31248

Prime factors of 31248 are 2, 3, 7, 31. Prime factorization of 31248 in exponential form is:

31248 = 2⁴ × 3² × 7¹ × 31¹

Step-2: Prime Factorization of 31260

Prime factors of 31260 are 2, 3, 5, 521. Prime factorization of 31260 in exponential form is:

31260 = 2² × 3¹ × 5¹ × 521¹

Step-3: Factors of 31248

List of positive integer factors of 31248 that divides 31248 without a remainder.

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

Step-4: Factors of 31260

List of positive integer factors of 31260 that divides 31248 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 521, 1042, 1563, 2084, 2605, 3126, 5210, 6252, 7815, 10420, 15630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31248 and 31260. The biggest common factor number is the GCF number.
So the greatest common factor 31248 and 31260 is 12.

Also check out the Least Common Multiple of 31248 and 31260