What is the Greatest Common Factor of 69134 and 69147?

Greatest common factor (GCF) of 69134 and 69147 is 13.

GCF(69134,69147) = 13

We will now calculate the prime factors of 69134 and 69147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69134 and 69147.

How to find the GCF of 69134 and 69147?

We will first find the prime factorization of 69134 and 69147. After we will calculate the factors of 69134 and 69147 and find the biggest common factor number .

Step-1: Prime Factorization of 69134

Prime factors of 69134 are 2, 13, 2659. Prime factorization of 69134 in exponential form is:

69134 = 2¹ × 13¹ × 2659¹

Step-2: Prime Factorization of 69147

Prime factors of 69147 are 3, 13, 197. Prime factorization of 69147 in exponential form is:

69147 = 3³ × 13¹ × 197¹

Step-3: Factors of 69134

List of positive integer factors of 69134 that divides 69134 without a remainder.

1, 2, 13, 26, 2659, 5318, 34567

Step-4: Factors of 69147

List of positive integer factors of 69147 that divides 69134 without a remainder.

1, 3, 9, 13, 27, 39, 117, 197, 351, 591, 1773, 2561, 5319, 7683, 23049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69134 and 69147. The biggest common factor number is the GCF number.
So the greatest common factor 69134 and 69147 is 13.

Also check out the Least Common Multiple of 69134 and 69147