What is the Greatest Common Factor of 31248 and 31268?

Greatest common factor (GCF) of 31248 and 31268 is 4.

GCF(31248,31268) = 4

We will now calculate the prime factors of 31248 and 31268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31248 and 31268.

How to find the GCF of 31248 and 31268?

We will first find the prime factorization of 31248 and 31268. After we will calculate the factors of 31248 and 31268 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 31268

Prime factors of 31268 are 2, 7817. Prime factorization of 31268 in exponential form is:

31268 = 2² × 7817¹

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 31268

List of positive integer factors of 31268 that divides 31248 without a remainder.

1, 2, 4, 7817, 15634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31248 and 31268. The biggest common factor number is the GCF number.
So the greatest common factor 31248 and 31268 is 4.

Also check out the Least Common Multiple of 31248 and 31268