What is the Greatest Common Factor of 95564 and 95580?

Greatest common factor (GCF) of 95564 and 95580 is 4.

GCF(95564,95580) = 4

We will now calculate the prime factors of 95564 and 95580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95564 and 95580.

How to find the GCF of 95564 and 95580?

We will first find the prime factorization of 95564 and 95580. After we will calculate the factors of 95564 and 95580 and find the biggest common factor number .

Step-1: Prime Factorization of 95564

Prime factors of 95564 are 2, 7, 3413. Prime factorization of 95564 in exponential form is:

95564 = 2² × 7¹ × 3413¹

Step-2: 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-3: Factors of 95564

List of positive integer factors of 95564 that divides 95564 without a remainder.

1, 2, 4, 7, 14, 28, 3413, 6826, 13652, 23891, 47782

Step-4: Factors of 95580

List of positive integer factors of 95580 that divides 95564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95564 and 95580. The biggest common factor number is the GCF number.
So the greatest common factor 95564 and 95580 is 4.

Also check out the Least Common Multiple of 95564 and 95580