What is the Greatest Common Factor of 69189 and 69198?

Greatest common factor (GCF) of 69189 and 69198 is 3.

GCF(69189,69198) = 3

We will now calculate the prime factors of 69189 and 69198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69189 and 69198.

How to find the GCF of 69189 and 69198?

We will first find the prime factorization of 69189 and 69198. After we will calculate the factors of 69189 and 69198 and find the biggest common factor number .

Step-1: Prime Factorization of 69189

Prime factors of 69189 are 3, 23063. Prime factorization of 69189 in exponential form is:

69189 = 3¹ × 23063¹

Step-2: Prime Factorization of 69198

Prime factors of 69198 are 2, 3, 19, 607. Prime factorization of 69198 in exponential form is:

69198 = 2¹ × 3¹ × 19¹ × 607¹

Step-3: Factors of 69189

List of positive integer factors of 69189 that divides 69189 without a remainder.

1, 3, 23063

Step-4: Factors of 69198

List of positive integer factors of 69198 that divides 69189 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 607, 1214, 1821, 3642, 11533, 23066, 34599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69189 and 69198. The biggest common factor number is the GCF number.
So the greatest common factor 69189 and 69198 is 3.

Also check out the Least Common Multiple of 69189 and 69198