What is the Greatest Common Factor of 68142 and 68160?

Greatest common factor (GCF) of 68142 and 68160 is 6.

GCF(68142,68160) = 6

We will now calculate the prime factors of 68142 and 68160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68142 and 68160.

How to find the GCF of 68142 and 68160?

We will first find the prime factorization of 68142 and 68160. After we will calculate the factors of 68142 and 68160 and find the biggest common factor number .

Step-1: Prime Factorization of 68142

Prime factors of 68142 are 2, 3, 41, 277. Prime factorization of 68142 in exponential form is:

68142 = 2¹ × 3¹ × 41¹ × 277¹

Step-2: 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-3: Factors of 68142

List of positive integer factors of 68142 that divides 68142 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 277, 554, 831, 1662, 11357, 22714, 34071

Step-4: Factors of 68160

List of positive integer factors of 68160 that divides 68142 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68142 and 68160. The biggest common factor number is the GCF number.
So the greatest common factor 68142 and 68160 is 6.

Also check out the Least Common Multiple of 68142 and 68160