What is the Greatest Common Factor of 68140 and 68160?

Greatest common factor (GCF) of 68140 and 68160 is 20.

GCF(68140,68160) = 20

We will now calculate the prime factors of 68140 and 68160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68140 and 68160.

How to find the GCF of 68140 and 68160?

We will first find the prime factorization of 68140 and 68160. After we will calculate the factors of 68140 and 68160 and find the biggest common factor number .

Step-1: Prime Factorization of 68140

Prime factors of 68140 are 2, 5, 3407. Prime factorization of 68140 in exponential form is:

68140 = 2² × 5¹ × 3407¹

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 68140

List of positive integer factors of 68140 that divides 68140 without a remainder.

1, 2, 4, 5, 10, 20, 3407, 6814, 13628, 17035, 34070

Step-4: Factors of 68160

List of positive integer factors of 68160 that divides 68140 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 68140 and 68160. The biggest common factor number is the GCF number.
So the greatest common factor 68140 and 68160 is 20.

Also check out the Least Common Multiple of 68140 and 68160