What is the Greatest Common Factor of 95070 and 95079?

Greatest common factor (GCF) of 95070 and 95079 is 3.

GCF(95070,95079) = 3

We will now calculate the prime factors of 95070 and 95079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95070 and 95079.

How to find the GCF of 95070 and 95079?

We will first find the prime factorization of 95070 and 95079. After we will calculate the factors of 95070 and 95079 and find the biggest common factor number .

Step-1: Prime Factorization of 95070

Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:

95070 = 2¹ × 3¹ × 5¹ × 3169¹

Step-2: Prime Factorization of 95079

Prime factors of 95079 are 3, 41, 773. Prime factorization of 95079 in exponential form is:

95079 = 3¹ × 41¹ × 773¹

Step-3: Factors of 95070

List of positive integer factors of 95070 that divides 95070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3169, 6338, 9507, 15845, 19014, 31690, 47535

Step-4: Factors of 95079

List of positive integer factors of 95079 that divides 95070 without a remainder.

1, 3, 41, 123, 773, 2319, 31693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95070 and 95079. The biggest common factor number is the GCF number.
So the greatest common factor 95070 and 95079 is 3.

Also check out the Least Common Multiple of 95070 and 95079