What is the Greatest Common Factor of 68160 and 68178?

Greatest common factor (GCF) of 68160 and 68178 is 6.

GCF(68160,68178) = 6

We will now calculate the prime factors of 68160 and 68178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68178.

How to find the GCF of 68160 and 68178?

We will first find the prime factorization of 68160 and 68178. After we will calculate the factors of 68160 and 68178 and find the biggest common factor number .

Step-1: Prime Factorization of 68160

Prime factors of 68160 are 2, 3, 5, 71. Prime factorization of 68160 in exponential form is:

68160 = 2⁶ × 3¹ × 5¹ × 71¹

Step-2: Prime Factorization of 68178

Prime factors of 68178 are 2, 3, 11, 1033. Prime factorization of 68178 in exponential form is:

68178 = 2¹ × 3¹ × 11¹ × 1033¹

Step-3: Factors of 68160

List of positive integer factors of 68160 that divides 68160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 71, 80, 96, 120, 142, 160, 192, 213, 240, 284, 320, 355, 426, 480, 568, 710, 852, 960, 1065, 1136, 1420, 1704, 2130, 2272, 2840, 3408, 4260, 4544, 5680, 6816, 8520, 11360, 13632, 17040, 22720, 34080

Step-4: Factors of 68178

List of positive integer factors of 68178 that divides 68160 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1033, 2066, 3099, 6198, 11363, 22726, 34089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68178. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68178 is 6.

Also check out the Least Common Multiple of 68160 and 68178