What is the Greatest Common Factor of 50113 and 50120?

Greatest common factor (GCF) of 50113 and 50120 is 7.

GCF(50113,50120) = 7

We will now calculate the prime factors of 50113 and 50120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50113 and 50120.

How to find the GCF of 50113 and 50120?

We will first find the prime factorization of 50113 and 50120. After we will calculate the factors of 50113 and 50120 and find the biggest common factor number .

Step-1: Prime Factorization of 50113

Prime factors of 50113 are 7, 7159. Prime factorization of 50113 in exponential form is:

50113 = 7¹ × 7159¹

Step-2: Prime Factorization of 50120

Prime factors of 50120 are 2, 5, 7, 179. Prime factorization of 50120 in exponential form is:

50120 = 2³ × 5¹ × 7¹ × 179¹

Step-3: Factors of 50113

List of positive integer factors of 50113 that divides 50113 without a remainder.

1, 7, 7159

Step-4: Factors of 50120

List of positive integer factors of 50120 that divides 50113 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 179, 280, 358, 716, 895, 1253, 1432, 1790, 2506, 3580, 5012, 6265, 7160, 10024, 12530, 25060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50113 and 50120. The biggest common factor number is the GCF number.
So the greatest common factor 50113 and 50120 is 7.

Also check out the Least Common Multiple of 50113 and 50120