What is the Greatest Common Factor of 69054 and 69066?

Greatest common factor (GCF) of 69054 and 69066 is 6.

GCF(69054,69066) = 6

We will now calculate the prime factors of 69054 and 69066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69054 and 69066.

How to find the GCF of 69054 and 69066?

We will first find the prime factorization of 69054 and 69066. After we will calculate the factors of 69054 and 69066 and find the biggest common factor number .

Step-1: Prime Factorization of 69054

Prime factors of 69054 are 2, 3, 17, 677. Prime factorization of 69054 in exponential form is:

69054 = 2¹ × 3¹ × 17¹ × 677¹

Step-2: 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-3: Factors of 69054

List of positive integer factors of 69054 that divides 69054 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 677, 1354, 2031, 4062, 11509, 23018, 34527

Step-4: Factors of 69066

List of positive integer factors of 69066 that divides 69054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69054 and 69066. The biggest common factor number is the GCF number.
So the greatest common factor 69054 and 69066 is 6.

Also check out the Least Common Multiple of 69054 and 69066