What is the Greatest Common Factor of 68160 and 68171?

Greatest common factor (GCF) of 68160 and 68171 is 1.

GCF(68160,68171) = 1

We will now calculate the prime factors of 68160 and 68171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68171.

How to find the GCF of 68160 and 68171?

We will first find the prime factorization of 68160 and 68171. After we will calculate the factors of 68160 and 68171 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 68171

Prime factors of 68171 are 68171. Prime factorization of 68171 in exponential form is:

68171 = 68171¹

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 68171

List of positive integer factors of 68171 that divides 68160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68171. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68171 is 1.

Also check out the Least Common Multiple of 68160 and 68171