What is the Greatest Common Factor of 69066 and 69075?

Greatest common factor (GCF) of 69066 and 69075 is 9.

GCF(69066,69075) = 9

We will now calculate the prime factors of 69066 and 69075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69066 and 69075.

How to find the GCF of 69066 and 69075?

We will first find the prime factorization of 69066 and 69075. After we will calculate the factors of 69066 and 69075 and find the biggest common factor number .

Step-1: Prime Factorization of 69066

Prime factors of 69066 are 2, 3, 1279. Prime factorization of 69066 in exponential form is:

69066 = 2¹ × 3³ × 1279¹

Step-2: 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-3: Factors of 69066

List of positive integer factors of 69066 that divides 69066 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1279, 2558, 3837, 7674, 11511, 23022, 34533

Step-4: Factors of 69075

List of positive integer factors of 69075 that divides 69066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69066 and 69075. The biggest common factor number is the GCF number.
So the greatest common factor 69066 and 69075 is 9.

Also check out the Least Common Multiple of 69066 and 69075