What is the Greatest Common Factor of 68340 and 68352?

Greatest common factor (GCF) of 68340 and 68352 is 12.

GCF(68340,68352) = 12

We will now calculate the prime factors of 68340 and 68352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68340 and 68352.

How to find the GCF of 68340 and 68352?

We will first find the prime factorization of 68340 and 68352. After we will calculate the factors of 68340 and 68352 and find the biggest common factor number .

Step-1: Prime Factorization of 68340

Prime factors of 68340 are 2, 3, 5, 17, 67. Prime factorization of 68340 in exponential form is:

68340 = 2² × 3¹ × 5¹ × 17¹ × 67¹

Step-2: 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-3: Factors of 68340

List of positive integer factors of 68340 that divides 68340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 67, 68, 85, 102, 134, 170, 201, 204, 255, 268, 335, 340, 402, 510, 670, 804, 1005, 1020, 1139, 1340, 2010, 2278, 3417, 4020, 4556, 5695, 6834, 11390, 13668, 17085, 22780, 34170

Step-4: Factors of 68352

List of positive integer factors of 68352 that divides 68340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68340 and 68352. The biggest common factor number is the GCF number.
So the greatest common factor 68340 and 68352 is 12.

Also check out the Least Common Multiple of 68340 and 68352