What is the Greatest Common Factor of 69204 and 69219?

Greatest common factor (GCF) of 69204 and 69219 is 3.

GCF(69204,69219) = 3

We will now calculate the prime factors of 69204 and 69219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69204 and 69219.

How to find the GCF of 69204 and 69219?

We will first find the prime factorization of 69204 and 69219. After we will calculate the factors of 69204 and 69219 and find the biggest common factor number .

Step-1: Prime Factorization of 69204

Prime factors of 69204 are 2, 3, 73, 79. Prime factorization of 69204 in exponential form is:

69204 = 2² × 3¹ × 73¹ × 79¹

Step-2: Prime Factorization of 69219

Prime factors of 69219 are 3, 7691. Prime factorization of 69219 in exponential form is:

69219 = 3² × 7691¹

Step-3: Factors of 69204

List of positive integer factors of 69204 that divides 69204 without a remainder.

1, 2, 3, 4, 6, 12, 73, 79, 146, 158, 219, 237, 292, 316, 438, 474, 876, 948, 5767, 11534, 17301, 23068, 34602

Step-4: Factors of 69219

List of positive integer factors of 69219 that divides 69204 without a remainder.

1, 3, 9, 7691, 23073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69204 and 69219. The biggest common factor number is the GCF number.
So the greatest common factor 69204 and 69219 is 3.

Also check out the Least Common Multiple of 69204 and 69219