What is the Greatest Common Factor of 50120 and 50135?

Greatest common factor (GCF) of 50120 and 50135 is 5.

GCF(50120,50135) = 5

We will now calculate the prime factors of 50120 and 50135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50120 and 50135.

How to find the GCF of 50120 and 50135?

We will first find the prime factorization of 50120 and 50135. After we will calculate the factors of 50120 and 50135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50135

Prime factors of 50135 are 5, 37, 271. Prime factorization of 50135 in exponential form is:

50135 = 5¹ × 37¹ × 271¹

Step-3: Factors of 50120

List of positive integer factors of 50120 that divides 50120 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

Step-4: Factors of 50135

List of positive integer factors of 50135 that divides 50120 without a remainder.

1, 5, 37, 185, 271, 1355, 10027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50120 and 50135. The biggest common factor number is the GCF number.
So the greatest common factor 50120 and 50135 is 5.

Also check out the Least Common Multiple of 50120 and 50135