What is the Greatest Common Factor of 31008 and 31012?

Greatest common factor (GCF) of 31008 and 31012 is 4.

GCF(31008,31012) = 4

We will now calculate the prime factors of 31008 and 31012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31008 and 31012.

How to find the GCF of 31008 and 31012?

We will first find the prime factorization of 31008 and 31012. After we will calculate the factors of 31008 and 31012 and find the biggest common factor number .

Step-1: Prime Factorization of 31008

Prime factors of 31008 are 2, 3, 17, 19. Prime factorization of 31008 in exponential form is:

31008 = 2⁵ × 3¹ × 17¹ × 19¹

Step-2: Prime Factorization of 31012

Prime factors of 31012 are 2, 7753. Prime factorization of 31012 in exponential form is:

31012 = 2² × 7753¹

Step-3: Factors of 31008

List of positive integer factors of 31008 that divides 31008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 19, 24, 32, 34, 38, 48, 51, 57, 68, 76, 96, 102, 114, 136, 152, 204, 228, 272, 304, 323, 408, 456, 544, 608, 646, 816, 912, 969, 1292, 1632, 1824, 1938, 2584, 3876, 5168, 7752, 10336, 15504

Step-4: Factors of 31012

List of positive integer factors of 31012 that divides 31008 without a remainder.

1, 2, 4, 7753, 15506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31008 and 31012. The biggest common factor number is the GCF number.
So the greatest common factor 31008 and 31012 is 4.

Also check out the Least Common Multiple of 31008 and 31012