What is the Greatest Common Factor of 50904 and 50913?

Greatest common factor (GCF) of 50904 and 50913 is 9.

GCF(50904,50913) = 9

We will now calculate the prime factors of 50904 and 50913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50904 and 50913.

How to find the GCF of 50904 and 50913?

We will first find the prime factorization of 50904 and 50913. After we will calculate the factors of 50904 and 50913 and find the biggest common factor number .

Step-1: Prime Factorization of 50904

Prime factors of 50904 are 2, 3, 7, 101. Prime factorization of 50904 in exponential form is:

50904 = 2³ × 3² × 7¹ × 101¹

Step-2: Prime Factorization of 50913

Prime factors of 50913 are 3, 5657. Prime factorization of 50913 in exponential form is:

50913 = 3² × 5657¹

Step-3: Factors of 50904

List of positive integer factors of 50904 that divides 50904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 101, 126, 168, 202, 252, 303, 404, 504, 606, 707, 808, 909, 1212, 1414, 1818, 2121, 2424, 2828, 3636, 4242, 5656, 6363, 7272, 8484, 12726, 16968, 25452

Step-4: Factors of 50913

List of positive integer factors of 50913 that divides 50904 without a remainder.

1, 3, 9, 5657, 16971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50904 and 50913. The biggest common factor number is the GCF number.
So the greatest common factor 50904 and 50913 is 9.

Also check out the Least Common Multiple of 50904 and 50913