What is the Greatest Common Factor of 69108 and 69121?

Greatest common factor (GCF) of 69108 and 69121 is 13.

GCF(69108,69121) = 13

We will now calculate the prime factors of 69108 and 69121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69108 and 69121.

How to find the GCF of 69108 and 69121?

We will first find the prime factorization of 69108 and 69121. After we will calculate the factors of 69108 and 69121 and find the biggest common factor number .

Step-1: Prime Factorization of 69108

Prime factors of 69108 are 2, 3, 13, 443. Prime factorization of 69108 in exponential form is:

69108 = 2² × 3¹ × 13¹ × 443¹

Step-2: Prime Factorization of 69121

Prime factors of 69121 are 13, 409. Prime factorization of 69121 in exponential form is:

69121 = 13² × 409¹

Step-3: Factors of 69108

List of positive integer factors of 69108 that divides 69108 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 443, 886, 1329, 1772, 2658, 5316, 5759, 11518, 17277, 23036, 34554

Step-4: Factors of 69121

List of positive integer factors of 69121 that divides 69108 without a remainder.

1, 13, 169, 409, 5317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69108 and 69121. The biggest common factor number is the GCF number.
So the greatest common factor 69108 and 69121 is 13.

Also check out the Least Common Multiple of 69108 and 69121