What is the Greatest Common Factor of 50904 and 50918?

Greatest common factor (GCF) of 50904 and 50918 is 14.

GCF(50904,50918) = 14

We will now calculate the prime factors of 50904 and 50918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50904 and 50918.

How to find the GCF of 50904 and 50918?

We will first find the prime factorization of 50904 and 50918. After we will calculate the factors of 50904 and 50918 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 50918

Prime factors of 50918 are 2, 7, 3637. Prime factorization of 50918 in exponential form is:

50918 = 2¹ × 7¹ × 3637¹

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 50918

List of positive integer factors of 50918 that divides 50904 without a remainder.

1, 2, 7, 14, 3637, 7274, 25459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50904 and 50918. The biggest common factor number is the GCF number.
So the greatest common factor 50904 and 50918 is 14.

Also check out the Least Common Multiple of 50904 and 50918