What is the Greatest Common Factor of 36920 and 36928?

Greatest common factor (GCF) of 36920 and 36928 is 8.

GCF(36920,36928) = 8

We will now calculate the prime factors of 36920 and 36928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36920 and 36928.

How to find the GCF of 36920 and 36928?

We will first find the prime factorization of 36920 and 36928. After we will calculate the factors of 36920 and 36928 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36928

Prime factors of 36928 are 2, 577. Prime factorization of 36928 in exponential form is:

36928 = 2⁶ × 577¹

Step-3: Factors of 36920

List of positive integer factors of 36920 that divides 36920 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

Step-4: Factors of 36928

List of positive integer factors of 36928 that divides 36920 without a remainder.

1, 2, 4, 8, 16, 32, 64, 577, 1154, 2308, 4616, 9232, 18464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36920 and 36928. The biggest common factor number is the GCF number.
So the greatest common factor 36920 and 36928 is 8.

Also check out the Least Common Multiple of 36920 and 36928