What is the Greatest Common Factor of 31239 and 31248?

Greatest common factor (GCF) of 31239 and 31248 is 9.

GCF(31239,31248) = 9

We will now calculate the prime factors of 31239 and 31248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31239 and 31248.

How to find the GCF of 31239 and 31248?

We will first find the prime factorization of 31239 and 31248. After we will calculate the factors of 31239 and 31248 and find the biggest common factor number .

Step-1: Prime Factorization of 31239

Prime factors of 31239 are 3, 13, 89. Prime factorization of 31239 in exponential form is:

31239 = 3³ × 13¹ × 89¹

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 31239

List of positive integer factors of 31239 that divides 31239 without a remainder.

1, 3, 9, 13, 27, 39, 89, 117, 267, 351, 801, 1157, 2403, 3471, 10413

Step-4: Factors of 31248

List of positive integer factors of 31248 that divides 31239 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 31239 and 31248. The biggest common factor number is the GCF number.
So the greatest common factor 31239 and 31248 is 9.

Also check out the Least Common Multiple of 31239 and 31248