What is the Greatest Common Factor of 53920 and 53939?

Greatest common factor (GCF) of 53920 and 53939 is 1.

GCF(53920,53939) = 1

We will now calculate the prime factors of 53920 and 53939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53920 and 53939.

How to find the GCF of 53920 and 53939?

We will first find the prime factorization of 53920 and 53939. After we will calculate the factors of 53920 and 53939 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 53939

Prime factors of 53939 are 53939. Prime factorization of 53939 in exponential form is:

53939 = 53939¹

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 53939

List of positive integer factors of 53939 that divides 53920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53920 and 53939. The biggest common factor number is the GCF number.
So the greatest common factor 53920 and 53939 is 1.

Also check out the Least Common Multiple of 53920 and 53939