What is the Greatest Common Factor of 31248 and 31262?

Greatest common factor (GCF) of 31248 and 31262 is 14.

GCF(31248,31262) = 14

We will now calculate the prime factors of 31248 and 31262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31248 and 31262.

How to find the GCF of 31248 and 31262?

We will first find the prime factorization of 31248 and 31262. After we will calculate the factors of 31248 and 31262 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 31262

Prime factors of 31262 are 2, 7, 11, 29. Prime factorization of 31262 in exponential form is:

31262 = 2¹ × 7² × 11¹ × 29¹

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 31262

List of positive integer factors of 31262 that divides 31248 without a remainder.

1, 2, 7, 11, 14, 22, 29, 49, 58, 77, 98, 154, 203, 319, 406, 539, 638, 1078, 1421, 2233, 2842, 4466, 15631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31248 and 31262. The biggest common factor number is the GCF number.
So the greatest common factor 31248 and 31262 is 14.

Also check out the Least Common Multiple of 31248 and 31262