What is the Greatest Common Factor of 95116 and 95130?

Greatest common factor (GCF) of 95116 and 95130 is 14.

GCF(95116,95130) = 14

We will now calculate the prime factors of 95116 and 95130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95116 and 95130.

How to find the GCF of 95116 and 95130?

We will first find the prime factorization of 95116 and 95130. After we will calculate the factors of 95116 and 95130 and find the biggest common factor number .

Step-1: Prime Factorization of 95116

Prime factors of 95116 are 2, 7, 43, 79. Prime factorization of 95116 in exponential form is:

95116 = 2² × 7¹ × 43¹ × 79¹

Step-2: 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-3: Factors of 95116

List of positive integer factors of 95116 that divides 95116 without a remainder.

1, 2, 4, 7, 14, 28, 43, 79, 86, 158, 172, 301, 316, 553, 602, 1106, 1204, 2212, 3397, 6794, 13588, 23779, 47558

Step-4: Factors of 95130

List of positive integer factors of 95130 that divides 95116 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95116 and 95130. The biggest common factor number is the GCF number.
So the greatest common factor 95116 and 95130 is 14.

Also check out the Least Common Multiple of 95116 and 95130