What is the Greatest Common Factor of 53909 and 53920?

Greatest common factor (GCF) of 53909 and 53920 is 1.

GCF(53909,53920) = 1

We will now calculate the prime factors of 53909 and 53920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53909 and 53920.

How to find the GCF of 53909 and 53920?

We will first find the prime factorization of 53909 and 53920. After we will calculate the factors of 53909 and 53920 and find the biggest common factor number .

Step-1: Prime Factorization of 53909

Prime factors of 53909 are 31, 37, 47. Prime factorization of 53909 in exponential form is:

53909 = 31¹ × 37¹ × 47¹

Step-2: 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-3: Factors of 53909

List of positive integer factors of 53909 that divides 53909 without a remainder.

1, 31, 37, 47, 1147, 1457, 1739

Step-4: Factors of 53920

List of positive integer factors of 53920 that divides 53909 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53909 and 53920. The biggest common factor number is the GCF number.
So the greatest common factor 53909 and 53920 is 1.

Also check out the Least Common Multiple of 53909 and 53920