What is the Greatest Common Factor of 31152 and 31172?

Greatest common factor (GCF) of 31152 and 31172 is 4.

GCF(31152,31172) = 4

We will now calculate the prime factors of 31152 and 31172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31152 and 31172.

How to find the GCF of 31152 and 31172?

We will first find the prime factorization of 31152 and 31172. After we will calculate the factors of 31152 and 31172 and find the biggest common factor number .

Step-1: Prime Factorization of 31152

Prime factors of 31152 are 2, 3, 11, 59. Prime factorization of 31152 in exponential form is:

31152 = 2⁴ × 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 31172

Prime factors of 31172 are 2, 7793. Prime factorization of 31172 in exponential form is:

31172 = 2² × 7793¹

Step-3: Factors of 31152

List of positive integer factors of 31152 that divides 31152 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 59, 66, 88, 118, 132, 176, 177, 236, 264, 354, 472, 528, 649, 708, 944, 1298, 1416, 1947, 2596, 2832, 3894, 5192, 7788, 10384, 15576

Step-4: Factors of 31172

List of positive integer factors of 31172 that divides 31152 without a remainder.

1, 2, 4, 7793, 15586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31152 and 31172. The biggest common factor number is the GCF number.
So the greatest common factor 31152 and 31172 is 4.

Also check out the Least Common Multiple of 31152 and 31172