What is the Greatest Common Factor of 75964 and 75983?

Greatest common factor (GCF) of 75964 and 75983 is 1.

GCF(75964,75983) = 1

We will now calculate the prime factors of 75964 and 75983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75964 and 75983.

How to find the GCF of 75964 and 75983?

We will first find the prime factorization of 75964 and 75983. After we will calculate the factors of 75964 and 75983 and find the biggest common factor number .

Step-1: Prime Factorization of 75964

Prime factors of 75964 are 2, 7, 2713. Prime factorization of 75964 in exponential form is:

75964 = 2² × 7¹ × 2713¹

Step-2: Prime Factorization of 75983

Prime factors of 75983 are 75983. Prime factorization of 75983 in exponential form is:

75983 = 75983¹

Step-3: Factors of 75964

List of positive integer factors of 75964 that divides 75964 without a remainder.

1, 2, 4, 7, 14, 28, 2713, 5426, 10852, 18991, 37982

Step-4: Factors of 75983

List of positive integer factors of 75983 that divides 75964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75964 and 75983. The biggest common factor number is the GCF number.
So the greatest common factor 75964 and 75983 is 1.

Also check out the Least Common Multiple of 75964 and 75983