What is the Greatest Common Factor of 75145 and 75160?

Greatest common factor (GCF) of 75145 and 75160 is 5.

GCF(75145,75160) = 5

We will now calculate the prime factors of 75145 and 75160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75145 and 75160.

How to find the GCF of 75145 and 75160?

We will first find the prime factorization of 75145 and 75160. After we will calculate the factors of 75145 and 75160 and find the biggest common factor number .

Step-1: Prime Factorization of 75145

Prime factors of 75145 are 5, 7, 19, 113. Prime factorization of 75145 in exponential form is:

75145 = 5¹ × 7¹ × 19¹ × 113¹

Step-2: Prime Factorization of 75160

Prime factors of 75160 are 2, 5, 1879. Prime factorization of 75160 in exponential form is:

75160 = 2³ × 5¹ × 1879¹

Step-3: Factors of 75145

List of positive integer factors of 75145 that divides 75145 without a remainder.

1, 5, 7, 19, 35, 95, 113, 133, 565, 665, 791, 2147, 3955, 10735, 15029

Step-4: Factors of 75160

List of positive integer factors of 75160 that divides 75145 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1879, 3758, 7516, 9395, 15032, 18790, 37580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75145 and 75160. The biggest common factor number is the GCF number.
So the greatest common factor 75145 and 75160 is 5.

Also check out the Least Common Multiple of 75145 and 75160