What is the Greatest Common Factor of 95130 and 95134?

Greatest common factor (GCF) of 95130 and 95134 is 2.

GCF(95130,95134) = 2

We will now calculate the prime factors of 95130 and 95134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95130 and 95134.

How to find the GCF of 95130 and 95134?

We will first find the prime factorization of 95130 and 95134. After we will calculate the factors of 95130 and 95134 and find the biggest common factor number .

Step-1: Prime Factorization of 95130

Prime factors of 95130 are 2, 3, 5, 7, 151. Prime factorization of 95130 in exponential form is:

95130 = 2¹ × 3² × 5¹ × 7¹ × 151¹

Step-2: Prime Factorization of 95134

Prime factors of 95134 are 2, 13, 3659. Prime factorization of 95134 in exponential form is:

95134 = 2¹ × 13¹ × 3659¹

Step-3: Factors of 95130

List of positive integer factors of 95130 that divides 95130 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 151, 210, 302, 315, 453, 630, 755, 906, 1057, 1359, 1510, 2114, 2265, 2718, 3171, 4530, 5285, 6342, 6795, 9513, 10570, 13590, 15855, 19026, 31710, 47565

Step-4: Factors of 95134

List of positive integer factors of 95134 that divides 95130 without a remainder.

1, 2, 13, 26, 3659, 7318, 47567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95130 and 95134. The biggest common factor number is the GCF number.
So the greatest common factor 95130 and 95134 is 2.

Also check out the Least Common Multiple of 95130 and 95134