What is the Greatest Common Factor of 69075 and 69084?

Greatest common factor (GCF) of 69075 and 69084 is 9.

GCF(69075,69084) = 9

We will now calculate the prime factors of 69075 and 69084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69075 and 69084.

How to find the GCF of 69075 and 69084?

We will first find the prime factorization of 69075 and 69084. After we will calculate the factors of 69075 and 69084 and find the biggest common factor number .

Step-1: Prime Factorization of 69075

Prime factors of 69075 are 3, 5, 307. Prime factorization of 69075 in exponential form is:

69075 = 3² × 5² × 307¹

Step-2: Prime Factorization of 69084

Prime factors of 69084 are 2, 3, 19, 101. Prime factorization of 69084 in exponential form is:

69084 = 2² × 3² × 19¹ × 101¹

Step-3: Factors of 69075

List of positive integer factors of 69075 that divides 69075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 307, 921, 1535, 2763, 4605, 7675, 13815, 23025

Step-4: Factors of 69084

List of positive integer factors of 69084 that divides 69075 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 101, 114, 171, 202, 228, 303, 342, 404, 606, 684, 909, 1212, 1818, 1919, 3636, 3838, 5757, 7676, 11514, 17271, 23028, 34542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69075 and 69084. The biggest common factor number is the GCF number.
So the greatest common factor 69075 and 69084 is 9.

Also check out the Least Common Multiple of 69075 and 69084