What is the Greatest Common Factor of 95120 and 95139?

Greatest common factor (GCF) of 95120 and 95139 is 1.

GCF(95120,95139) = 1

We will now calculate the prime factors of 95120 and 95139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95120 and 95139.

How to find the GCF of 95120 and 95139?

We will first find the prime factorization of 95120 and 95139. After we will calculate the factors of 95120 and 95139 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 95139

Prime factors of 95139 are 3, 11, 31. Prime factorization of 95139 in exponential form is:

95139 = 3² × 11¹ × 31²

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 95139

List of positive integer factors of 95139 that divides 95120 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 961, 1023, 2883, 3069, 8649, 10571, 31713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95120 and 95139. The biggest common factor number is the GCF number.
So the greatest common factor 95120 and 95139 is 1.

Also check out the Least Common Multiple of 95120 and 95139