What is the Greatest Common Factor of 75080 and 75095?

Greatest common factor (GCF) of 75080 and 75095 is 5.

GCF(75080,75095) = 5

We will now calculate the prime factors of 75080 and 75095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75080 and 75095.

How to find the GCF of 75080 and 75095?

We will first find the prime factorization of 75080 and 75095. After we will calculate the factors of 75080 and 75095 and find the biggest common factor number .

Step-1: Prime Factorization of 75080

Prime factors of 75080 are 2, 5, 1877. Prime factorization of 75080 in exponential form is:

75080 = 2³ × 5¹ × 1877¹

Step-2: Prime Factorization of 75095

Prime factors of 75095 are 5, 23, 653. Prime factorization of 75095 in exponential form is:

75095 = 5¹ × 23¹ × 653¹

Step-3: Factors of 75080

List of positive integer factors of 75080 that divides 75080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1877, 3754, 7508, 9385, 15016, 18770, 37540

Step-4: Factors of 75095

List of positive integer factors of 75095 that divides 75080 without a remainder.

1, 5, 23, 115, 653, 3265, 15019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75080 and 75095. The biggest common factor number is the GCF number.
So the greatest common factor 75080 and 75095 is 5.

Also check out the Least Common Multiple of 75080 and 75095