What is the Greatest Common Factor of 75965 and 75971?

Greatest common factor (GCF) of 75965 and 75971 is 1.

GCF(75965,75971) = 1

We will now calculate the prime factors of 75965 and 75971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75965 and 75971.

How to find the GCF of 75965 and 75971?

We will first find the prime factorization of 75965 and 75971. After we will calculate the factors of 75965 and 75971 and find the biggest common factor number .

Step-1: Prime Factorization of 75965

Prime factors of 75965 are 5, 15193. Prime factorization of 75965 in exponential form is:

75965 = 5¹ × 15193¹

Step-2: Prime Factorization of 75971

Prime factors of 75971 are 7, 10853. Prime factorization of 75971 in exponential form is:

75971 = 7¹ × 10853¹

Step-3: Factors of 75965

List of positive integer factors of 75965 that divides 75965 without a remainder.

1, 5, 15193

Step-4: Factors of 75971

List of positive integer factors of 75971 that divides 75965 without a remainder.

1, 7, 10853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75965 and 75971. The biggest common factor number is the GCF number.
So the greatest common factor 75965 and 75971 is 1.

Also check out the Least Common Multiple of 75965 and 75971