What is the Greatest Common Factor of 68352 and 68370?

Greatest common factor (GCF) of 68352 and 68370 is 6.

GCF(68352,68370) = 6

We will now calculate the prime factors of 68352 and 68370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68352 and 68370.

How to find the GCF of 68352 and 68370?

We will first find the prime factorization of 68352 and 68370. After we will calculate the factors of 68352 and 68370 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 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 2¹ × 3¹ × 5¹ × 43¹ × 53¹

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 68370

List of positive integer factors of 68370 that divides 68352 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 53, 86, 106, 129, 159, 215, 258, 265, 318, 430, 530, 645, 795, 1290, 1590, 2279, 4558, 6837, 11395, 13674, 22790, 34185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68352 and 68370. The biggest common factor number is the GCF number.
So the greatest common factor 68352 and 68370 is 6.

Also check out the Least Common Multiple of 68352 and 68370