What is the Greatest Common Factor of 50664 and 50676?

Greatest common factor (GCF) of 50664 and 50676 is 12.

GCF(50664,50676) = 12

We will now calculate the prime factors of 50664 and 50676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50664 and 50676.

How to find the GCF of 50664 and 50676?

We will first find the prime factorization of 50664 and 50676. After we will calculate the factors of 50664 and 50676 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 50676

Prime factors of 50676 are 2, 3, 41, 103. Prime factorization of 50676 in exponential form is:

50676 = 2² × 3¹ × 41¹ × 103¹

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 50676

List of positive integer factors of 50676 that divides 50664 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 103, 123, 164, 206, 246, 309, 412, 492, 618, 1236, 4223, 8446, 12669, 16892, 25338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50664 and 50676. The biggest common factor number is the GCF number.
So the greatest common factor 50664 and 50676 is 12.

Also check out the Least Common Multiple of 50664 and 50676