What is the Greatest Common Factor of 9072 and 9080?

Greatest common factor (GCF) of 9072 and 9080 is 8.

GCF(9072,9080) = 8

We will now calculate the prime factors of 9072 and 9080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9072 and 9080.

How to find the GCF of 9072 and 9080?

We will first find the prime factorization of 9072 and 9080. After we will calculate the factors of 9072 and 9080 and find the biggest common factor number .

Step-1: Prime Factorization of 9072

Prime factors of 9072 are 2, 3, 7. Prime factorization of 9072 in exponential form is:

9072 = 2⁴ × 3⁴ × 7¹

Step-2: Prime Factorization of 9080

Prime factors of 9080 are 2, 5, 227. Prime factorization of 9080 in exponential form is:

9080 = 2³ × 5¹ × 227¹

Step-3: Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536

Step-4: Factors of 9080

List of positive integer factors of 9080 that divides 9072 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9072 and 9080. The biggest common factor number is the GCF number.
So the greatest common factor 9072 and 9080 is 8.

Also check out the Least Common Multiple of 9072 and 9080