What is the Greatest Common Factor of 69204 and 69224?

Greatest common factor (GCF) of 69204 and 69224 is 4.

GCF(69204,69224) = 4

We will now calculate the prime factors of 69204 and 69224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69204 and 69224.

How to find the GCF of 69204 and 69224?

We will first find the prime factorization of 69204 and 69224. After we will calculate the factors of 69204 and 69224 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 69224

Prime factors of 69224 are 2, 17, 509. Prime factorization of 69224 in exponential form is:

69224 = 2³ × 17¹ × 509¹

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 69224

List of positive integer factors of 69224 that divides 69204 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 509, 1018, 2036, 4072, 8653, 17306, 34612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69204 and 69224. The biggest common factor number is the GCF number.
So the greatest common factor 69204 and 69224 is 4.

Also check out the Least Common Multiple of 69204 and 69224