What is the Greatest Common Factor of 52923 and 52939?

Greatest common factor (GCF) of 52923 and 52939 is 1.

GCF(52923,52939) = 1

We will now calculate the prime factors of 52923 and 52939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52923 and 52939.

How to find the GCF of 52923 and 52939?

We will first find the prime factorization of 52923 and 52939. After we will calculate the factors of 52923 and 52939 and find the biggest common factor number .

Step-1: Prime Factorization of 52923

Prime factors of 52923 are 3, 13, 23, 59. Prime factorization of 52923 in exponential form is:

52923 = 3¹ × 13¹ × 23¹ × 59¹

Step-2: Prime Factorization of 52939

Prime factors of 52939 are 167, 317. Prime factorization of 52939 in exponential form is:

52939 = 167¹ × 317¹

Step-3: Factors of 52923

List of positive integer factors of 52923 that divides 52923 without a remainder.

1, 3, 13, 23, 39, 59, 69, 177, 299, 767, 897, 1357, 2301, 4071, 17641

Step-4: Factors of 52939

List of positive integer factors of 52939 that divides 52923 without a remainder.

1, 167, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52923 and 52939. The biggest common factor number is the GCF number.
So the greatest common factor 52923 and 52939 is 1.

Also check out the Least Common Multiple of 52923 and 52939