What is the Greatest Common Factor of 95220 and 95236?

Greatest common factor (GCF) of 95220 and 95236 is 4.

GCF(95220,95236) = 4

We will now calculate the prime factors of 95220 and 95236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95220 and 95236.

How to find the GCF of 95220 and 95236?

We will first find the prime factorization of 95220 and 95236. After we will calculate the factors of 95220 and 95236 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 95236

Prime factors of 95236 are 2, 29, 821. Prime factorization of 95236 in exponential form is:

95236 = 2² × 29¹ × 821¹

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 95236

List of positive integer factors of 95236 that divides 95220 without a remainder.

1, 2, 4, 29, 58, 116, 821, 1642, 3284, 23809, 47618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95220 and 95236. The biggest common factor number is the GCF number.
So the greatest common factor 95220 and 95236 is 4.

Also check out the Least Common Multiple of 95220 and 95236