What is the Greatest Common Factor of 50918 and 50932?

Greatest common factor (GCF) of 50918 and 50932 is 14.

GCF(50918,50932) = 14

We will now calculate the prime factors of 50918 and 50932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50918 and 50932.

How to find the GCF of 50918 and 50932?

We will first find the prime factorization of 50918 and 50932. After we will calculate the factors of 50918 and 50932 and find the biggest common factor number .

Step-1: Prime Factorization of 50918

Prime factors of 50918 are 2, 7, 3637. Prime factorization of 50918 in exponential form is:

50918 = 2¹ × 7¹ × 3637¹

Step-2: 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-3: Factors of 50918

List of positive integer factors of 50918 that divides 50918 without a remainder.

1, 2, 7, 14, 3637, 7274, 25459

Step-4: Factors of 50932

List of positive integer factors of 50932 that divides 50918 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50918 and 50932. The biggest common factor number is the GCF number.
So the greatest common factor 50918 and 50932 is 14.

Also check out the Least Common Multiple of 50918 and 50932