What is the Greatest Common Factor of 95102 and 95109?

Greatest common factor (GCF) of 95102 and 95109 is 7.

GCF(95102,95109) = 7

We will now calculate the prime factors of 95102 and 95109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95102 and 95109.

How to find the GCF of 95102 and 95109?

We will first find the prime factorization of 95102 and 95109. After we will calculate the factors of 95102 and 95109 and find the biggest common factor number .

Step-1: Prime Factorization of 95102

Prime factors of 95102 are 2, 7, 6793. Prime factorization of 95102 in exponential form is:

95102 = 2¹ × 7¹ × 6793¹

Step-2: 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-3: Factors of 95102

List of positive integer factors of 95102 that divides 95102 without a remainder.

1, 2, 7, 14, 6793, 13586, 47551

Step-4: Factors of 95109

List of positive integer factors of 95109 that divides 95102 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95102 and 95109. The biggest common factor number is the GCF number.
So the greatest common factor 95102 and 95109 is 7.

Also check out the Least Common Multiple of 95102 and 95109