What is the Greatest Common Factor of 31152 and 31168?

Greatest common factor (GCF) of 31152 and 31168 is 16.

GCF(31152,31168) = 16

We will now calculate the prime factors of 31152 and 31168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31152 and 31168.

How to find the GCF of 31152 and 31168?

We will first find the prime factorization of 31152 and 31168. After we will calculate the factors of 31152 and 31168 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 31168

Prime factors of 31168 are 2, 487. Prime factorization of 31168 in exponential form is:

31168 = 2⁶ × 487¹

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 31168

List of positive integer factors of 31168 that divides 31152 without a remainder.

1, 2, 4, 8, 16, 32, 64, 487, 974, 1948, 3896, 7792, 15584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31152 and 31168. The biggest common factor number is the GCF number.
So the greatest common factor 31152 and 31168 is 16.

Also check out the Least Common Multiple of 31152 and 31168