What is the Greatest Common Factor of 31248 and 31253?

Greatest common factor (GCF) of 31248 and 31253 is 1.

GCF(31248,31253) = 1

We will now calculate the prime factors of 31248 and 31253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31248 and 31253.

How to find the GCF of 31248 and 31253?

We will first find the prime factorization of 31248 and 31253. After we will calculate the factors of 31248 and 31253 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 31253

Prime factors of 31253 are 31253. Prime factorization of 31253 in exponential form is:

31253 = 31253¹

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 31253

List of positive integer factors of 31253 that divides 31248 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31248 and 31253. The biggest common factor number is the GCF number.
So the greatest common factor 31248 and 31253 is 1.

Also check out the Least Common Multiple of 31248 and 31253