What is the Greatest Common Factor of 68352 and 68360?

Greatest common factor (GCF) of 68352 and 68360 is 8.

GCF(68352,68360) = 8

We will now calculate the prime factors of 68352 and 68360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68352 and 68360.

How to find the GCF of 68352 and 68360?

We will first find the prime factorization of 68352 and 68360. After we will calculate the factors of 68352 and 68360 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 68360

Prime factors of 68360 are 2, 5, 1709. Prime factorization of 68360 in exponential form is:

68360 = 2³ × 5¹ × 1709¹

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 68360

List of positive integer factors of 68360 that divides 68352 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1709, 3418, 6836, 8545, 13672, 17090, 34180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68352 and 68360. The biggest common factor number is the GCF number.
So the greatest common factor 68352 and 68360 is 8.

Also check out the Least Common Multiple of 68352 and 68360