What is the Greatest Common Factor of 36992 and 37012?

Greatest common factor (GCF) of 36992 and 37012 is 4.

GCF(36992,37012) = 4

We will now calculate the prime factors of 36992 and 37012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36992 and 37012.

How to find the GCF of 36992 and 37012?

We will first find the prime factorization of 36992 and 37012. After we will calculate the factors of 36992 and 37012 and find the biggest common factor number .

Step-1: Prime Factorization of 36992

Prime factors of 36992 are 2, 17. Prime factorization of 36992 in exponential form is:

36992 = 2⁷ × 17²

Step-2: Prime Factorization of 37012

Prime factors of 37012 are 2, 19, 487. Prime factorization of 37012 in exponential form is:

37012 = 2² × 19¹ × 487¹

Step-3: Factors of 36992

List of positive integer factors of 36992 that divides 36992 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 289, 544, 578, 1088, 1156, 2176, 2312, 4624, 9248, 18496

Step-4: Factors of 37012

List of positive integer factors of 37012 that divides 36992 without a remainder.

1, 2, 4, 19, 38, 76, 487, 974, 1948, 9253, 18506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36992 and 37012. The biggest common factor number is the GCF number.
So the greatest common factor 36992 and 37012 is 4.

Also check out the Least Common Multiple of 36992 and 37012