What is the Greatest Common Factor of 75908 and 75913?

Greatest common factor (GCF) of 75908 and 75913 is 1.

GCF(75908,75913) = 1

We will now calculate the prime factors of 75908 and 75913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75908 and 75913.

How to find the GCF of 75908 and 75913?

We will first find the prime factorization of 75908 and 75913. After we will calculate the factors of 75908 and 75913 and find the biggest common factor number .

Step-1: Prime Factorization of 75908

Prime factors of 75908 are 2, 7, 2711. Prime factorization of 75908 in exponential form is:

75908 = 2² × 7¹ × 2711¹

Step-2: Prime Factorization of 75913

Prime factors of 75913 are 75913. Prime factorization of 75913 in exponential form is:

75913 = 75913¹

Step-3: Factors of 75908

List of positive integer factors of 75908 that divides 75908 without a remainder.

1, 2, 4, 7, 14, 28, 2711, 5422, 10844, 18977, 37954

Step-4: Factors of 75913

List of positive integer factors of 75913 that divides 75908 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75908 and 75913. The biggest common factor number is the GCF number.
So the greatest common factor 75908 and 75913 is 1.

Also check out the Least Common Multiple of 75908 and 75913