What is the Greatest Common Factor of 9060 and 9078?

Greatest common factor (GCF) of 9060 and 9078 is 6.

GCF(9060,9078) = 6

We will now calculate the prime factors of 9060 and 9078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9060 and 9078.

How to find the GCF of 9060 and 9078?

We will first find the prime factorization of 9060 and 9078. After we will calculate the factors of 9060 and 9078 and find the biggest common factor number .

Step-1: Prime Factorization of 9060

Prime factors of 9060 are 2, 3, 5, 151. Prime factorization of 9060 in exponential form is:

9060 = 2² × 3¹ × 5¹ × 151¹

Step-2: Prime Factorization of 9078

Prime factors of 9078 are 2, 3, 17, 89. Prime factorization of 9078 in exponential form is:

9078 = 2¹ × 3¹ × 17¹ × 89¹

Step-3: Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530

Step-4: Factors of 9078

List of positive integer factors of 9078 that divides 9060 without a remainder.

1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9060 and 9078. The biggest common factor number is the GCF number.
So the greatest common factor 9060 and 9078 is 6.

Also check out the Least Common Multiple of 9060 and 9078