What is the Greatest Common Factor of 9052 and 9072?

Greatest common factor (GCF) of 9052 and 9072 is 4.

GCF(9052,9072) = 4

We will now calculate the prime factors of 9052 and 9072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9052 and 9072.

How to find the GCF of 9052 and 9072?

We will first find the prime factorization of 9052 and 9072. After we will calculate the factors of 9052 and 9072 and find the biggest common factor number .

Step-1: Prime Factorization of 9052

Prime factors of 9052 are 2, 31, 73. Prime factorization of 9052 in exponential form is:

9052 = 2² × 31¹ × 73¹

Step-2: 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-3: Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526

Step-4: Factors of 9072

List of positive integer factors of 9072 that divides 9052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9052 and 9072. The biggest common factor number is the GCF number.
So the greatest common factor 9052 and 9072 is 4.

Also check out the Least Common Multiple of 9052 and 9072