What is the Greatest Common Factor of 95220 and 95232?

Greatest common factor (GCF) of 95220 and 95232 is 12.

GCF(95220,95232) = 12

We will now calculate the prime factors of 95220 and 95232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95220 and 95232.

How to find the GCF of 95220 and 95232?

We will first find the prime factorization of 95220 and 95232. After we will calculate the factors of 95220 and 95232 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 95232

Prime factors of 95232 are 2, 3, 31. Prime factorization of 95232 in exponential form is:

95232 = 2¹⁰ × 3¹ × 31¹

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 95232

List of positive integer factors of 95232 that divides 95220 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 256, 372, 384, 496, 512, 744, 768, 992, 1024, 1488, 1536, 1984, 2976, 3072, 3968, 5952, 7936, 11904, 15872, 23808, 31744, 47616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95220 and 95232. The biggest common factor number is the GCF number.
So the greatest common factor 95220 and 95232 is 12.

Also check out the Least Common Multiple of 95220 and 95232