What is the Greatest Common Factor of 50672 and 50680?

Greatest common factor (GCF) of 50672 and 50680 is 8.

GCF(50672,50680) = 8

We will now calculate the prime factors of 50672 and 50680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50672 and 50680.

How to find the GCF of 50672 and 50680?

We will first find the prime factorization of 50672 and 50680. After we will calculate the factors of 50672 and 50680 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 50680

Prime factors of 50680 are 2, 5, 7, 181. Prime factorization of 50680 in exponential form is:

50680 = 2³ × 5¹ × 7¹ × 181¹

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 50680

List of positive integer factors of 50680 that divides 50672 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 181, 280, 362, 724, 905, 1267, 1448, 1810, 2534, 3620, 5068, 6335, 7240, 10136, 12670, 25340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50672 and 50680. The biggest common factor number is the GCF number.
So the greatest common factor 50672 and 50680 is 8.

Also check out the Least Common Multiple of 50672 and 50680