What is the Greatest Common Factor of 95360 and 95380?

Greatest common factor (GCF) of 95360 and 95380 is 20.

GCF(95360,95380) = 20

We will now calculate the prime factors of 95360 and 95380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95360 and 95380.

How to find the GCF of 95360 and 95380?

We will first find the prime factorization of 95360 and 95380. After we will calculate the factors of 95360 and 95380 and find the biggest common factor number .

Step-1: Prime Factorization of 95360

Prime factors of 95360 are 2, 5, 149. Prime factorization of 95360 in exponential form is:

95360 = 2⁷ × 5¹ × 149¹

Step-2: Prime Factorization of 95380

Prime factors of 95380 are 2, 5, 19, 251. Prime factorization of 95380 in exponential form is:

95380 = 2² × 5¹ × 19¹ × 251¹

Step-3: Factors of 95360

List of positive integer factors of 95360 that divides 95360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 149, 160, 298, 320, 596, 640, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 19072, 23840, 47680

Step-4: Factors of 95380

List of positive integer factors of 95380 that divides 95360 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 251, 380, 502, 1004, 1255, 2510, 4769, 5020, 9538, 19076, 23845, 47690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95360 and 95380. The biggest common factor number is the GCF number.
So the greatest common factor 95360 and 95380 is 20.

Also check out the Least Common Multiple of 95360 and 95380