What is the Greatest Common Factor of 31152 and 31170?

Greatest common factor (GCF) of 31152 and 31170 is 6.

GCF(31152,31170) = 6

We will now calculate the prime factors of 31152 and 31170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31152 and 31170.

How to find the GCF of 31152 and 31170?

We will first find the prime factorization of 31152 and 31170. After we will calculate the factors of 31152 and 31170 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 31170

Prime factors of 31170 are 2, 3, 5, 1039. Prime factorization of 31170 in exponential form is:

31170 = 2¹ × 3¹ × 5¹ × 1039¹

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 31170

List of positive integer factors of 31170 that divides 31152 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1039, 2078, 3117, 5195, 6234, 10390, 15585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31152 and 31170. The biggest common factor number is the GCF number.
So the greatest common factor 31152 and 31170 is 6.

Also check out the Least Common Multiple of 31152 and 31170