What is the Greatest Common Factor of 50672 and 50690?

Greatest common factor (GCF) of 50672 and 50690 is 2.

GCF(50672,50690) = 2

We will now calculate the prime factors of 50672 and 50690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50672 and 50690.

How to find the GCF of 50672 and 50690?

We will first find the prime factorization of 50672 and 50690. After we will calculate the factors of 50672 and 50690 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 50690

Prime factors of 50690 are 2, 5, 37, 137. Prime factorization of 50690 in exponential form is:

50690 = 2¹ × 5¹ × 37¹ × 137¹

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 50690

List of positive integer factors of 50690 that divides 50672 without a remainder.

1, 2, 5, 10, 37, 74, 137, 185, 274, 370, 685, 1370, 5069, 10138, 25345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50672 and 50690. The biggest common factor number is the GCF number.
So the greatest common factor 50672 and 50690 is 2.

Also check out the Least Common Multiple of 50672 and 50690