What is the Greatest Common Factor of 69204 and 69208?

Greatest common factor (GCF) of 69204 and 69208 is 4.

GCF(69204,69208) = 4

We will now calculate the prime factors of 69204 and 69208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69204 and 69208.

How to find the GCF of 69204 and 69208?

We will first find the prime factorization of 69204 and 69208. After we will calculate the factors of 69204 and 69208 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 69208

Prime factors of 69208 are 2, 41, 211. Prime factorization of 69208 in exponential form is:

69208 = 2³ × 41¹ × 211¹

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 69208

List of positive integer factors of 69208 that divides 69204 without a remainder.

1, 2, 4, 8, 41, 82, 164, 211, 328, 422, 844, 1688, 8651, 17302, 34604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69204 and 69208. The biggest common factor number is the GCF number.
So the greatest common factor 69204 and 69208 is 4.

Also check out the Least Common Multiple of 69204 and 69208