What is the Greatest Common Factor of 52923 and 52941?

Greatest common factor (GCF) of 52923 and 52941 is 3.

GCF(52923,52941) = 3

We will now calculate the prime factors of 52923 and 52941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52923 and 52941.

How to find the GCF of 52923 and 52941?

We will first find the prime factorization of 52923 and 52941. After we will calculate the factors of 52923 and 52941 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 52941

Prime factors of 52941 are 3, 7, 2521. Prime factorization of 52941 in exponential form is:

52941 = 3¹ × 7¹ × 2521¹

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 52941

List of positive integer factors of 52941 that divides 52923 without a remainder.

1, 3, 7, 21, 2521, 7563, 17647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52923 and 52941. The biggest common factor number is the GCF number.
So the greatest common factor 52923 and 52941 is 3.

Also check out the Least Common Multiple of 52923 and 52941