What is the Greatest Common Factor of 54929 and 54937?

Greatest common factor (GCF) of 54929 and 54937 is 1.

GCF(54929,54937) = 1

We will now calculate the prime factors of 54929 and 54937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54929 and 54937.

How to find the GCF of 54929 and 54937?

We will first find the prime factorization of 54929 and 54937. After we will calculate the factors of 54929 and 54937 and find the biggest common factor number .

Step-1: Prime Factorization of 54929

Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:

54929 = 7² × 19¹ × 59¹

Step-2: Prime Factorization of 54937

Prime factors of 54937 are 137, 401. Prime factorization of 54937 in exponential form is:

54937 = 137¹ × 401¹

Step-3: Factors of 54929

List of positive integer factors of 54929 that divides 54929 without a remainder.

1, 7, 19, 49, 59, 133, 413, 931, 1121, 2891, 7847

Step-4: Factors of 54937

List of positive integer factors of 54937 that divides 54929 without a remainder.

1, 137, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54929 and 54937. The biggest common factor number is the GCF number.
So the greatest common factor 54929 and 54937 is 1.

Also check out the Least Common Multiple of 54929 and 54937