What is the Greatest Common Factor of 95130 and 95144?

Greatest common factor (GCF) of 95130 and 95144 is 14.

GCF(95130,95144) = 14

We will now calculate the prime factors of 95130 and 95144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95130 and 95144.

How to find the GCF of 95130 and 95144?

We will first find the prime factorization of 95130 and 95144. After we will calculate the factors of 95130 and 95144 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 95144

Prime factors of 95144 are 2, 7, 1699. Prime factorization of 95144 in exponential form is:

95144 = 2³ × 7¹ × 1699¹

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 95144

List of positive integer factors of 95144 that divides 95130 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1699, 3398, 6796, 11893, 13592, 23786, 47572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95130 and 95144. The biggest common factor number is the GCF number.
So the greatest common factor 95130 and 95144 is 14.

Also check out the Least Common Multiple of 95130 and 95144