What is the Greatest Common Factor of 50664 and 50684?

Greatest common factor (GCF) of 50664 and 50684 is 4.

GCF(50664,50684) = 4

We will now calculate the prime factors of 50664 and 50684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50664 and 50684.

How to find the GCF of 50664 and 50684?

We will first find the prime factorization of 50664 and 50684. After we will calculate the factors of 50664 and 50684 and find the biggest common factor number .

Step-1: Prime Factorization of 50664

Prime factors of 50664 are 2, 3, 2111. Prime factorization of 50664 in exponential form is:

50664 = 2³ × 3¹ × 2111¹

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 50664

List of positive integer factors of 50664 that divides 50664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2111, 4222, 6333, 8444, 12666, 16888, 25332

Step-4: Factors of 50684

List of positive integer factors of 50684 that divides 50664 without a remainder.

1, 2, 4, 12671, 25342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50664 and 50684. The biggest common factor number is the GCF number.
So the greatest common factor 50664 and 50684 is 4.

Also check out the Least Common Multiple of 50664 and 50684