What is the Greatest Common Factor of 68352 and 68366?

Greatest common factor (GCF) of 68352 and 68366 is 2.

GCF(68352,68366) = 2

We will now calculate the prime factors of 68352 and 68366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68352 and 68366.

How to find the GCF of 68352 and 68366?

We will first find the prime factorization of 68352 and 68366. After we will calculate the factors of 68352 and 68366 and find the biggest common factor number .

Step-1: Prime Factorization of 68352

Prime factors of 68352 are 2, 3, 89. Prime factorization of 68352 in exponential form is:

68352 = 2⁸ × 3¹ × 89¹

Step-2: Prime Factorization of 68366

Prime factors of 68366 are 2, 34183. Prime factorization of 68366 in exponential form is:

68366 = 2¹ × 34183¹

Step-3: Factors of 68352

List of positive integer factors of 68352 that divides 68352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 128, 178, 192, 256, 267, 356, 384, 534, 712, 768, 1068, 1424, 2136, 2848, 4272, 5696, 8544, 11392, 17088, 22784, 34176

Step-4: Factors of 68366

List of positive integer factors of 68366 that divides 68352 without a remainder.

1, 2, 34183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68352 and 68366. The biggest common factor number is the GCF number.
So the greatest common factor 68352 and 68366 is 2.

Also check out the Least Common Multiple of 68352 and 68366