What is the Greatest Common Factor of 50628 and 50640?

Greatest common factor (GCF) of 50628 and 50640 is 12.

GCF(50628,50640) = 12

We will now calculate the prime factors of 50628 and 50640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50628 and 50640.

How to find the GCF of 50628 and 50640?

We will first find the prime factorization of 50628 and 50640. After we will calculate the factors of 50628 and 50640 and find the biggest common factor number .

Step-1: Prime Factorization of 50628

Prime factors of 50628 are 2, 3, 4219. Prime factorization of 50628 in exponential form is:

50628 = 2² × 3¹ × 4219¹

Step-2: Prime Factorization of 50640

Prime factors of 50640 are 2, 3, 5, 211. Prime factorization of 50640 in exponential form is:

50640 = 2⁴ × 3¹ × 5¹ × 211¹

Step-3: Factors of 50628

List of positive integer factors of 50628 that divides 50628 without a remainder.

1, 2, 3, 4, 6, 12, 4219, 8438, 12657, 16876, 25314

Step-4: Factors of 50640

List of positive integer factors of 50640 that divides 50628 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 211, 240, 422, 633, 844, 1055, 1266, 1688, 2110, 2532, 3165, 3376, 4220, 5064, 6330, 8440, 10128, 12660, 16880, 25320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50628 and 50640. The biggest common factor number is the GCF number.
So the greatest common factor 50628 and 50640 is 12.

Also check out the Least Common Multiple of 50628 and 50640