What is the Greatest Common Factor of 31228 and 31248?

Greatest common factor (GCF) of 31228 and 31248 is 4.

GCF(31228,31248) = 4

We will now calculate the prime factors of 31228 and 31248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31228 and 31248.

How to find the GCF of 31228 and 31248?

We will first find the prime factorization of 31228 and 31248. After we will calculate the factors of 31228 and 31248 and find the biggest common factor number .

Step-1: Prime Factorization of 31228

Prime factors of 31228 are 2, 37, 211. Prime factorization of 31228 in exponential form is:

31228 = 2² × 37¹ × 211¹

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 31228

List of positive integer factors of 31228 that divides 31228 without a remainder.

1, 2, 4, 37, 74, 148, 211, 422, 844, 7807, 15614

Step-4: Factors of 31248

List of positive integer factors of 31248 that divides 31228 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 31228 and 31248. The biggest common factor number is the GCF number.
So the greatest common factor 31228 and 31248 is 4.

Also check out the Least Common Multiple of 31228 and 31248