What is the Greatest Common Factor of 52904 and 52921?

Greatest common factor (GCF) of 52904 and 52921 is 17.

GCF(52904,52921) = 17

We will now calculate the prime factors of 52904 and 52921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52904 and 52921.

How to find the GCF of 52904 and 52921?

We will first find the prime factorization of 52904 and 52921. After we will calculate the factors of 52904 and 52921 and find the biggest common factor number .

Step-1: Prime Factorization of 52904

Prime factors of 52904 are 2, 17, 389. Prime factorization of 52904 in exponential form is:

52904 = 2³ × 17¹ × 389¹

Step-2: Prime Factorization of 52921

Prime factors of 52921 are 11, 17, 283. Prime factorization of 52921 in exponential form is:

52921 = 11¹ × 17¹ × 283¹

Step-3: Factors of 52904

List of positive integer factors of 52904 that divides 52904 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452

Step-4: Factors of 52921

List of positive integer factors of 52921 that divides 52904 without a remainder.

1, 11, 17, 187, 283, 3113, 4811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52904 and 52921. The biggest common factor number is the GCF number.
So the greatest common factor 52904 and 52921 is 17.

Also check out the Least Common Multiple of 52904 and 52921