What is the Greatest Common Factor of 69216 and 69228?

Greatest common factor (GCF) of 69216 and 69228 is 12.

GCF(69216,69228) = 12

We will now calculate the prime factors of 69216 and 69228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69216 and 69228.

How to find the GCF of 69216 and 69228?

We will first find the prime factorization of 69216 and 69228. After we will calculate the factors of 69216 and 69228 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69228

Prime factors of 69228 are 2, 3, 641. Prime factorization of 69228 in exponential form is:

69228 = 2² × 3³ × 641¹

Step-3: Factors of 69216

List of positive integer factors of 69216 that divides 69216 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

Step-4: Factors of 69228

List of positive integer factors of 69228 that divides 69216 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 641, 1282, 1923, 2564, 3846, 5769, 7692, 11538, 17307, 23076, 34614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69216 and 69228. The biggest common factor number is the GCF number.
So the greatest common factor 69216 and 69228 is 12.

Also check out the Least Common Multiple of 69216 and 69228