What is the Greatest Common Factor of 95120 and 95130?

Greatest common factor (GCF) of 95120 and 95130 is 10.

GCF(95120,95130) = 10

We will now calculate the prime factors of 95120 and 95130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95120 and 95130.

How to find the GCF of 95120 and 95130?

We will first find the prime factorization of 95120 and 95130. After we will calculate the factors of 95120 and 95130 and find the biggest common factor number .

Step-1: Prime Factorization of 95120

Prime factors of 95120 are 2, 5, 29, 41. Prime factorization of 95120 in exponential form is:

95120 = 2⁴ × 5¹ × 29¹ × 41¹

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 95120

List of positive integer factors of 95120 that divides 95120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 41, 58, 80, 82, 116, 145, 164, 205, 232, 290, 328, 410, 464, 580, 656, 820, 1160, 1189, 1640, 2320, 2378, 3280, 4756, 5945, 9512, 11890, 19024, 23780, 47560

Step-4: Factors of 95130

List of positive integer factors of 95130 that divides 95120 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 95120 and 95130. The biggest common factor number is the GCF number.
So the greatest common factor 95120 and 95130 is 10.

Also check out the Least Common Multiple of 95120 and 95130