What is the Greatest Common Factor of 69204 and 69221?

Greatest common factor (GCF) of 69204 and 69221 is 1.

GCF(69204,69221) = 1

We will now calculate the prime factors of 69204 and 69221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69204 and 69221.

How to find the GCF of 69204 and 69221?

We will first find the prime factorization of 69204 and 69221. After we will calculate the factors of 69204 and 69221 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 69221

Prime factors of 69221 are 69221. Prime factorization of 69221 in exponential form is:

69221 = 69221¹

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 69221

List of positive integer factors of 69221 that divides 69204 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69204 and 69221. The biggest common factor number is the GCF number.
So the greatest common factor 69204 and 69221 is 1.

Also check out the Least Common Multiple of 69204 and 69221