What is the Greatest Common Factor of 31236 and 31248?

Greatest common factor (GCF) of 31236 and 31248 is 12.

GCF(31236,31248) = 12

We will now calculate the prime factors of 31236 and 31248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31236 and 31248.

How to find the GCF of 31236 and 31248?

We will first find the prime factorization of 31236 and 31248. After we will calculate the factors of 31236 and 31248 and find the biggest common factor number .

Step-1: Prime Factorization of 31236

Prime factors of 31236 are 2, 3, 19, 137. Prime factorization of 31236 in exponential form is:

31236 = 2² × 3¹ × 19¹ × 137¹

Step-2: 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-3: Factors of 31236

List of positive integer factors of 31236 that divides 31236 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 137, 228, 274, 411, 548, 822, 1644, 2603, 5206, 7809, 10412, 15618

Step-4: Factors of 31248

List of positive integer factors of 31248 that divides 31236 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31236 and 31248. The biggest common factor number is the GCF number.
So the greatest common factor 31236 and 31248 is 12.

Also check out the Least Common Multiple of 31236 and 31248