What is the Greatest Common Factor of 95120 and 95140?

Greatest common factor (GCF) of 95120 and 95140 is 20.

GCF(95120,95140) = 20

We will now calculate the prime factors of 95120 and 95140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95120 and 95140.

How to find the GCF of 95120 and 95140?

We will first find the prime factorization of 95120 and 95140. After we will calculate the factors of 95120 and 95140 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 95140

Prime factors of 95140 are 2, 5, 67, 71. Prime factorization of 95140 in exponential form is:

95140 = 2² × 5¹ × 67¹ × 71¹

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 95140

List of positive integer factors of 95140 that divides 95120 without a remainder.

1, 2, 4, 5, 10, 20, 67, 71, 134, 142, 268, 284, 335, 355, 670, 710, 1340, 1420, 4757, 9514, 19028, 23785, 47570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95120 and 95140. The biggest common factor number is the GCF number.
So the greatest common factor 95120 and 95140 is 20.

Also check out the Least Common Multiple of 95120 and 95140