What is the Greatest Common Factor of 9072 and 9090?

Greatest common factor (GCF) of 9072 and 9090 is 18.

GCF(9072,9090) = 18

We will now calculate the prime factors of 9072 and 9090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9072 and 9090.

How to find the GCF of 9072 and 9090?

We will first find the prime factorization of 9072 and 9090. After we will calculate the factors of 9072 and 9090 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 9090

Prime factors of 9090 are 2, 3, 5, 101. Prime factorization of 9090 in exponential form is:

9090 = 2¹ × 3² × 5¹ × 101¹

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 9090

List of positive integer factors of 9090 that divides 9072 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9072 and 9090. The biggest common factor number is the GCF number.
So the greatest common factor 9072 and 9090 is 18.

Also check out the Least Common Multiple of 9072 and 9090