What is the Greatest Common Factor of 69294 and 69309?

Greatest common factor (GCF) of 69294 and 69309 is 3.

GCF(69294,69309) = 3

We will now calculate the prime factors of 69294 and 69309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69294 and 69309.

How to find the GCF of 69294 and 69309?

We will first find the prime factorization of 69294 and 69309. After we will calculate the factors of 69294 and 69309 and find the biggest common factor number .

Step-1: Prime Factorization of 69294

Prime factors of 69294 are 2, 3, 11549. Prime factorization of 69294 in exponential form is:

69294 = 2¹ × 3¹ × 11549¹

Step-2: Prime Factorization of 69309

Prime factors of 69309 are 3, 17, 151. Prime factorization of 69309 in exponential form is:

69309 = 3³ × 17¹ × 151¹

Step-3: Factors of 69294

List of positive integer factors of 69294 that divides 69294 without a remainder.

1, 2, 3, 6, 11549, 23098, 34647

Step-4: Factors of 69309

List of positive integer factors of 69309 that divides 69294 without a remainder.

1, 3, 9, 17, 27, 51, 151, 153, 453, 459, 1359, 2567, 4077, 7701, 23103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69294 and 69309. The biggest common factor number is the GCF number.
So the greatest common factor 69294 and 69309 is 3.

Also check out the Least Common Multiple of 69294 and 69309