What is the Greatest Common Factor of 31136 and 31152?

Greatest common factor (GCF) of 31136 and 31152 is 16.

GCF(31136,31152) = 16

We will now calculate the prime factors of 31136 and 31152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31136 and 31152.

How to find the GCF of 31136 and 31152?

We will first find the prime factorization of 31136 and 31152. After we will calculate the factors of 31136 and 31152 and find the biggest common factor number .

Step-1: Prime Factorization of 31136

Prime factors of 31136 are 2, 7, 139. Prime factorization of 31136 in exponential form is:

31136 = 2⁵ × 7¹ × 139¹

Step-2: 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-3: Factors of 31136

List of positive integer factors of 31136 that divides 31136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 139, 224, 278, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 15568

Step-4: Factors of 31152

List of positive integer factors of 31152 that divides 31136 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31136 and 31152. The biggest common factor number is the GCF number.
So the greatest common factor 31136 and 31152 is 16.

Also check out the Least Common Multiple of 31136 and 31152