What is the Greatest Common Factor of 50915 and 50932?

Greatest common factor (GCF) of 50915 and 50932 is 17.

GCF(50915,50932) = 17

We will now calculate the prime factors of 50915 and 50932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50915 and 50932.

How to find the GCF of 50915 and 50932?

We will first find the prime factorization of 50915 and 50932. After we will calculate the factors of 50915 and 50932 and find the biggest common factor number .

Step-1: Prime Factorization of 50915

Prime factors of 50915 are 5, 17, 599. Prime factorization of 50915 in exponential form is:

50915 = 5¹ × 17¹ × 599¹

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 50915

List of positive integer factors of 50915 that divides 50915 without a remainder.

1, 5, 17, 85, 599, 2995, 10183

Step-4: Factors of 50932

List of positive integer factors of 50932 that divides 50915 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 50915 and 50932. The biggest common factor number is the GCF number.
So the greatest common factor 50915 and 50932 is 17.

Also check out the Least Common Multiple of 50915 and 50932