What is the Greatest Common Factor of 95135 and 95139?

Greatest common factor (GCF) of 95135 and 95139 is 1.

GCF(95135,95139) = 1

We will now calculate the prime factors of 95135 and 95139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95135 and 95139.

How to find the GCF of 95135 and 95139?

We will first find the prime factorization of 95135 and 95139. After we will calculate the factors of 95135 and 95139 and find the biggest common factor number .

Step-1: Prime Factorization of 95135

Prime factors of 95135 are 5, 53, 359. Prime factorization of 95135 in exponential form is:

95135 = 5¹ × 53¹ × 359¹

Step-2: Prime Factorization of 95139

Prime factors of 95139 are 3, 11, 31. Prime factorization of 95139 in exponential form is:

95139 = 3² × 11¹ × 31²

Step-3: Factors of 95135

List of positive integer factors of 95135 that divides 95135 without a remainder.

1, 5, 53, 265, 359, 1795, 19027

Step-4: Factors of 95139

List of positive integer factors of 95139 that divides 95135 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 961, 1023, 2883, 3069, 8649, 10571, 31713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95135 and 95139. The biggest common factor number is the GCF number.
So the greatest common factor 95135 and 95139 is 1.

Also check out the Least Common Multiple of 95135 and 95139