What is the Greatest Common Factor of 95580 and 95590?

Greatest common factor (GCF) of 95580 and 95590 is 10.

GCF(95580,95590) = 10

We will now calculate the prime factors of 95580 and 95590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95580 and 95590.

How to find the GCF of 95580 and 95590?

We will first find the prime factorization of 95580 and 95590. After we will calculate the factors of 95580 and 95590 and find the biggest common factor number .

Step-1: Prime Factorization of 95580

Prime factors of 95580 are 2, 3, 5, 59. Prime factorization of 95580 in exponential form is:

95580 = 2² × 3⁴ × 5¹ × 59¹

Step-2: Prime Factorization of 95590

Prime factors of 95590 are 2, 5, 11, 79. Prime factorization of 95590 in exponential form is:

95590 = 2¹ × 5¹ × 11² × 79¹

Step-3: Factors of 95580

List of positive integer factors of 95580 that divides 95580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 59, 60, 81, 90, 108, 118, 135, 162, 177, 180, 236, 270, 295, 324, 354, 405, 531, 540, 590, 708, 810, 885, 1062, 1180, 1593, 1620, 1770, 2124, 2655, 3186, 3540, 4779, 5310, 6372, 7965, 9558, 10620, 15930, 19116, 23895, 31860, 47790

Step-4: Factors of 95590

List of positive integer factors of 95590 that divides 95580 without a remainder.

1, 2, 5, 10, 11, 22, 55, 79, 110, 121, 158, 242, 395, 605, 790, 869, 1210, 1738, 4345, 8690, 9559, 19118, 47795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95580 and 95590. The biggest common factor number is the GCF number.
So the greatest common factor 95580 and 95590 is 10.

Also check out the Least Common Multiple of 95580 and 95590