What is the Greatest Common Factor of 50654 and 50672?

Greatest common factor (GCF) of 50654 and 50672 is 2.

GCF(50654,50672) = 2

We will now calculate the prime factors of 50654 and 50672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50654 and 50672.

How to find the GCF of 50654 and 50672?

We will first find the prime factorization of 50654 and 50672. After we will calculate the factors of 50654 and 50672 and find the biggest common factor number .

Step-1: Prime Factorization of 50654

Prime factors of 50654 are 2, 19, 31, 43. Prime factorization of 50654 in exponential form is:

50654 = 2¹ × 19¹ × 31¹ × 43¹

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 50654

List of positive integer factors of 50654 that divides 50654 without a remainder.

1, 2, 19, 31, 38, 43, 62, 86, 589, 817, 1178, 1333, 1634, 2666, 25327

Step-4: Factors of 50672

List of positive integer factors of 50672 that divides 50654 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 50654 and 50672. The biggest common factor number is the GCF number.
So the greatest common factor 50654 and 50672 is 2.

Also check out the Least Common Multiple of 50654 and 50672