What is the Greatest Common Factor of 68160 and 68169?

Greatest common factor (GCF) of 68160 and 68169 is 3.

GCF(68160,68169) = 3

We will now calculate the prime factors of 68160 and 68169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68169.

How to find the GCF of 68160 and 68169?

We will first find the prime factorization of 68160 and 68169. After we will calculate the factors of 68160 and 68169 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 68169

Prime factors of 68169 are 3, 31, 733. Prime factorization of 68169 in exponential form is:

68169 = 3¹ × 31¹ × 733¹

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 68169

List of positive integer factors of 68169 that divides 68160 without a remainder.

1, 3, 31, 93, 733, 2199, 22723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68169. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68169 is 3.

Also check out the Least Common Multiple of 68160 and 68169