What is the Greatest Common Factor of 53929 and 53937?

Greatest common factor (GCF) of 53929 and 53937 is 1.

GCF(53929,53937) = 1

We will now calculate the prime factors of 53929 and 53937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53929 and 53937.

How to find the GCF of 53929 and 53937?

We will first find the prime factorization of 53929 and 53937. After we will calculate the factors of 53929 and 53937 and find the biggest common factor number .

Step-1: Prime Factorization of 53929

Prime factors of 53929 are 199, 271. Prime factorization of 53929 in exponential form is:

53929 = 199¹ × 271¹

Step-2: Prime Factorization of 53937

Prime factors of 53937 are 3, 13, 461. Prime factorization of 53937 in exponential form is:

53937 = 3² × 13¹ × 461¹

Step-3: Factors of 53929

List of positive integer factors of 53929 that divides 53929 without a remainder.

1, 199, 271

Step-4: Factors of 53937

List of positive integer factors of 53937 that divides 53929 without a remainder.

1, 3, 9, 13, 39, 117, 461, 1383, 4149, 5993, 17979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53929 and 53937. The biggest common factor number is the GCF number.
So the greatest common factor 53929 and 53937 is 1.

Also check out the Least Common Multiple of 53929 and 53937