What is the Greatest Common Factor of 69099 and 69108?

Greatest common factor (GCF) of 69099 and 69108 is 3.

GCF(69099,69108) = 3

We will now calculate the prime factors of 69099 and 69108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69099 and 69108.

How to find the GCF of 69099 and 69108?

We will first find the prime factorization of 69099 and 69108. After we will calculate the factors of 69099 and 69108 and find the biggest common factor number .

Step-1: Prime Factorization of 69099

Prime factors of 69099 are 3, 31, 743. Prime factorization of 69099 in exponential form is:

69099 = 3¹ × 31¹ × 743¹

Step-2: 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-3: Factors of 69099

List of positive integer factors of 69099 that divides 69099 without a remainder.

1, 3, 31, 93, 743, 2229, 23033

Step-4: Factors of 69108

List of positive integer factors of 69108 that divides 69099 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69099 and 69108. The biggest common factor number is the GCF number.
So the greatest common factor 69099 and 69108 is 3.

Also check out the Least Common Multiple of 69099 and 69108