What is the Greatest Common Factor of 50672 and 50684?

Greatest common factor (GCF) of 50672 and 50684 is 4.

GCF(50672,50684) = 4

We will now calculate the prime factors of 50672 and 50684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50672 and 50684.

How to find the GCF of 50672 and 50684?

We will first find the prime factorization of 50672 and 50684. After we will calculate the factors of 50672 and 50684 and find the biggest common factor number .

Step-1: Prime Factorization of 50672

Prime factors of 50672 are 2, 3167. Prime factorization of 50672 in exponential form is:

50672 = 2⁴ × 3167¹

Step-2: Prime Factorization of 50684

Prime factors of 50684 are 2, 12671. Prime factorization of 50684 in exponential form is:

50684 = 2² × 12671¹

Step-3: Factors of 50672

List of positive integer factors of 50672 that divides 50672 without a remainder.

1, 2, 4, 8, 16, 3167, 6334, 12668, 25336

Step-4: Factors of 50684

List of positive integer factors of 50684 that divides 50672 without a remainder.

1, 2, 4, 12671, 25342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50672 and 50684. The biggest common factor number is the GCF number.
So the greatest common factor 50672 and 50684 is 4.

Also check out the Least Common Multiple of 50672 and 50684