What is the Greatest Common Factor of 95220 and 95226?

Greatest common factor (GCF) of 95220 and 95226 is 6.

GCF(95220,95226) = 6

We will now calculate the prime factors of 95220 and 95226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95220 and 95226.

How to find the GCF of 95220 and 95226?

We will first find the prime factorization of 95220 and 95226. After we will calculate the factors of 95220 and 95226 and find the biggest common factor number .

Step-1: Prime Factorization of 95220

Prime factors of 95220 are 2, 3, 5, 23. Prime factorization of 95220 in exponential form is:

95220 = 2² × 3² × 5¹ × 23²

Step-2: Prime Factorization of 95226

Prime factors of 95226 are 2, 3, 59, 269. Prime factorization of 95226 in exponential form is:

95226 = 2¹ × 3¹ × 59¹ × 269¹

Step-3: Factors of 95220

List of positive integer factors of 95220 that divides 95220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 529, 690, 828, 1035, 1058, 1380, 1587, 2070, 2116, 2645, 3174, 4140, 4761, 5290, 6348, 7935, 9522, 10580, 15870, 19044, 23805, 31740, 47610

Step-4: Factors of 95226

List of positive integer factors of 95226 that divides 95220 without a remainder.

1, 2, 3, 6, 59, 118, 177, 269, 354, 538, 807, 1614, 15871, 31742, 47613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95220 and 95226. The biggest common factor number is the GCF number.
So the greatest common factor 95220 and 95226 is 6.

Also check out the Least Common Multiple of 95220 and 95226