What is the Greatest Common Factor of 37912 and 37920?

Greatest common factor (GCF) of 37912 and 37920 is 8.

GCF(37912,37920) = 8

We will now calculate the prime factors of 37912 and 37920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37912 and 37920.

How to find the GCF of 37912 and 37920?

We will first find the prime factorization of 37912 and 37920. After we will calculate the factors of 37912 and 37920 and find the biggest common factor number .

Step-1: Prime Factorization of 37912

Prime factors of 37912 are 2, 7, 677. Prime factorization of 37912 in exponential form is:

37912 = 2³ × 7¹ × 677¹

Step-2: Prime Factorization of 37920

Prime factors of 37920 are 2, 3, 5, 79. Prime factorization of 37920 in exponential form is:

37920 = 2⁵ × 3¹ × 5¹ × 79¹

Step-3: Factors of 37912

List of positive integer factors of 37912 that divides 37912 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 677, 1354, 2708, 4739, 5416, 9478, 18956

Step-4: Factors of 37920

List of positive integer factors of 37920 that divides 37912 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 79, 80, 96, 120, 158, 160, 237, 240, 316, 395, 474, 480, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 2528, 3160, 3792, 4740, 6320, 7584, 9480, 12640, 18960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37912 and 37920. The biggest common factor number is the GCF number.
So the greatest common factor 37912 and 37920 is 8.

Also check out the Least Common Multiple of 37912 and 37920