What is the Greatest Common Factor of 69204 and 69216?

Greatest common factor (GCF) of 69204 and 69216 is 12.

GCF(69204,69216) = 12

We will now calculate the prime factors of 69204 and 69216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69204 and 69216.

How to find the GCF of 69204 and 69216?

We will first find the prime factorization of 69204 and 69216. After we will calculate the factors of 69204 and 69216 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 69216

Prime factors of 69216 are 2, 3, 7, 103. Prime factorization of 69216 in exponential form is:

69216 = 2⁵ × 3¹ × 7¹ × 103¹

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 69216

List of positive integer factors of 69216 that divides 69204 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 103, 112, 168, 206, 224, 309, 336, 412, 618, 672, 721, 824, 1236, 1442, 1648, 2163, 2472, 2884, 3296, 4326, 4944, 5768, 8652, 9888, 11536, 17304, 23072, 34608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69204 and 69216. The biggest common factor number is the GCF number.
So the greatest common factor 69204 and 69216 is 12.

Also check out the Least Common Multiple of 69204 and 69216