What is the Greatest Common Factor of 53920 and 53936?

Greatest common factor (GCF) of 53920 and 53936 is 16.

GCF(53920,53936) = 16

We will now calculate the prime factors of 53920 and 53936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53920 and 53936.

How to find the GCF of 53920 and 53936?

We will first find the prime factorization of 53920 and 53936. After we will calculate the factors of 53920 and 53936 and find the biggest common factor number .

Step-1: Prime Factorization of 53920

Prime factors of 53920 are 2, 5, 337. Prime factorization of 53920 in exponential form is:

53920 = 2⁵ × 5¹ × 337¹

Step-2: Prime Factorization of 53936

Prime factors of 53936 are 2, 3371. Prime factorization of 53936 in exponential form is:

53936 = 2⁴ × 3371¹

Step-3: Factors of 53920

List of positive integer factors of 53920 that divides 53920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 10784, 13480, 26960

Step-4: Factors of 53936

List of positive integer factors of 53936 that divides 53920 without a remainder.

1, 2, 4, 8, 16, 3371, 6742, 13484, 26968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53920 and 53936. The biggest common factor number is the GCF number.
So the greatest common factor 53920 and 53936 is 16.

Also check out the Least Common Multiple of 53920 and 53936