What is the Greatest Common Factor of 50666 and 50672?

Greatest common factor (GCF) of 50666 and 50672 is 2.

GCF(50666,50672) = 2

We will now calculate the prime factors of 50666 and 50672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50666 and 50672.

How to find the GCF of 50666 and 50672?

We will first find the prime factorization of 50666 and 50672. After we will calculate the factors of 50666 and 50672 and find the biggest common factor number .

Step-1: Prime Factorization of 50666

Prime factors of 50666 are 2, 7, 11, 47. Prime factorization of 50666 in exponential form is:

50666 = 2¹ × 7² × 11¹ × 47¹

Step-2: Prime Factorization of 50672

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

50672 = 2⁴ × 3167¹

Step-3: Factors of 50666

List of positive integer factors of 50666 that divides 50666 without a remainder.

1, 2, 7, 11, 14, 22, 47, 49, 77, 94, 98, 154, 329, 517, 539, 658, 1034, 1078, 2303, 3619, 4606, 7238, 25333

Step-4: Factors of 50672

List of positive integer factors of 50672 that divides 50666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50666 and 50672. The biggest common factor number is the GCF number.
So the greatest common factor 50666 and 50672 is 2.

Also check out the Least Common Multiple of 50666 and 50672