What is the Greatest Common Factor of 36912 and 36920?

Greatest common factor (GCF) of 36912 and 36920 is 8.

GCF(36912,36920) = 8

We will now calculate the prime factors of 36912 and 36920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36912 and 36920.

How to find the GCF of 36912 and 36920?

We will first find the prime factorization of 36912 and 36920. After we will calculate the factors of 36912 and 36920 and find the biggest common factor number .

Step-1: Prime Factorization of 36912

Prime factors of 36912 are 2, 3, 769. Prime factorization of 36912 in exponential form is:

36912 = 2⁴ × 3¹ × 769¹

Step-2: Prime Factorization of 36920

Prime factors of 36920 are 2, 5, 13, 71. Prime factorization of 36920 in exponential form is:

36920 = 2³ × 5¹ × 13¹ × 71¹

Step-3: Factors of 36912

List of positive integer factors of 36912 that divides 36912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 769, 1538, 2307, 3076, 4614, 6152, 9228, 12304, 18456

Step-4: Factors of 36920

List of positive integer factors of 36920 that divides 36912 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 71, 104, 130, 142, 260, 284, 355, 520, 568, 710, 923, 1420, 1846, 2840, 3692, 4615, 7384, 9230, 18460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36912 and 36920. The biggest common factor number is the GCF number.
So the greatest common factor 36912 and 36920 is 8.

Also check out the Least Common Multiple of 36912 and 36920