What is the Greatest Common Factor of 95675 and 95689?

Greatest common factor (GCF) of 95675 and 95689 is 1.

GCF(95675,95689) = 1

We will now calculate the prime factors of 95675 and 95689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95675 and 95689.

How to find the GCF of 95675 and 95689?

We will first find the prime factorization of 95675 and 95689. After we will calculate the factors of 95675 and 95689 and find the biggest common factor number .

Step-1: Prime Factorization of 95675

Prime factors of 95675 are 5, 43, 89. Prime factorization of 95675 in exponential form is:

95675 = 5² × 43¹ × 89¹

Step-2: Prime Factorization of 95689

Prime factors of 95689 are 11, 8699. Prime factorization of 95689 in exponential form is:

95689 = 11¹ × 8699¹

Step-3: Factors of 95675

List of positive integer factors of 95675 that divides 95675 without a remainder.

1, 5, 25, 43, 89, 215, 445, 1075, 2225, 3827, 19135

Step-4: Factors of 95689

List of positive integer factors of 95689 that divides 95675 without a remainder.

1, 11, 8699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95675 and 95689. The biggest common factor number is the GCF number.
So the greatest common factor 95675 and 95689 is 1.

Also check out the Least Common Multiple of 95675 and 95689