What is the Greatest Common Factor of 36928 and 36932?

Greatest common factor (GCF) of 36928 and 36932 is 4.

GCF(36928,36932) = 4

We will now calculate the prime factors of 36928 and 36932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36928 and 36932.

How to find the GCF of 36928 and 36932?

We will first find the prime factorization of 36928 and 36932. After we will calculate the factors of 36928 and 36932 and find the biggest common factor number .

Step-1: Prime Factorization of 36928

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

36928 = 2⁶ × 577¹

Step-2: Prime Factorization of 36932

Prime factors of 36932 are 2, 7, 1319. Prime factorization of 36932 in exponential form is:

36932 = 2² × 7¹ × 1319¹

Step-3: Factors of 36928

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

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

Step-4: Factors of 36932

List of positive integer factors of 36932 that divides 36928 without a remainder.

1, 2, 4, 7, 14, 28, 1319, 2638, 5276, 9233, 18466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36928 and 36932. The biggest common factor number is the GCF number.
So the greatest common factor 36928 and 36932 is 4.

Also check out the Least Common Multiple of 36928 and 36932