What is the Greatest Common Factor of 68160 and 68165?

Greatest common factor (GCF) of 68160 and 68165 is 5.

GCF(68160,68165) = 5

We will now calculate the prime factors of 68160 and 68165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68165.

How to find the GCF of 68160 and 68165?

We will first find the prime factorization of 68160 and 68165. After we will calculate the factors of 68160 and 68165 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 68165

Prime factors of 68165 are 5, 13633. Prime factorization of 68165 in exponential form is:

68165 = 5¹ × 13633¹

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 68165

List of positive integer factors of 68165 that divides 68160 without a remainder.

1, 5, 13633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68165. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68165 is 5.

Also check out the Least Common Multiple of 68160 and 68165