What is the Greatest Common Factor of 50932 and 50939?

Greatest common factor (GCF) of 50932 and 50939 is 7.

GCF(50932,50939) = 7

We will now calculate the prime factors of 50932 and 50939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50932 and 50939.

How to find the GCF of 50932 and 50939?

We will first find the prime factorization of 50932 and 50939. After we will calculate the factors of 50932 and 50939 and find the biggest common factor number .

Step-1: Prime Factorization of 50932

Prime factors of 50932 are 2, 7, 17, 107. Prime factorization of 50932 in exponential form is:

50932 = 2² × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 50939

Prime factors of 50939 are 7, 19, 383. Prime factorization of 50939 in exponential form is:

50939 = 7¹ × 19¹ × 383¹

Step-3: Factors of 50932

List of positive integer factors of 50932 that divides 50932 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 107, 119, 214, 238, 428, 476, 749, 1498, 1819, 2996, 3638, 7276, 12733, 25466

Step-4: Factors of 50939

List of positive integer factors of 50939 that divides 50932 without a remainder.

1, 7, 19, 133, 383, 2681, 7277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50932 and 50939. The biggest common factor number is the GCF number.
So the greatest common factor 50932 and 50939 is 7.

Also check out the Least Common Multiple of 50932 and 50939