What is the Greatest Common Factor of 95109 and 95123?

Greatest common factor (GCF) of 95109 and 95123 is 7.

GCF(95109,95123) = 7

We will now calculate the prime factors of 95109 and 95123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95109 and 95123.

How to find the GCF of 95109 and 95123?

We will first find the prime factorization of 95109 and 95123. After we will calculate the factors of 95109 and 95123 and find the biggest common factor number .

Step-1: Prime Factorization of 95109

Prime factors of 95109 are 3, 7, 647. Prime factorization of 95109 in exponential form is:

95109 = 3¹ × 7² × 647¹

Step-2: Prime Factorization of 95123

Prime factors of 95123 are 7, 107, 127. Prime factorization of 95123 in exponential form is:

95123 = 7¹ × 107¹ × 127¹

Step-3: Factors of 95109

List of positive integer factors of 95109 that divides 95109 without a remainder.

1, 3, 7, 21, 49, 147, 647, 1941, 4529, 13587, 31703

Step-4: Factors of 95123

List of positive integer factors of 95123 that divides 95109 without a remainder.

1, 7, 107, 127, 749, 889, 13589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95109 and 95123. The biggest common factor number is the GCF number.
So the greatest common factor 95109 and 95123 is 7.

Also check out the Least Common Multiple of 95109 and 95123