What is the Greatest Common Factor of 68160 and 68164?

Greatest common factor (GCF) of 68160 and 68164 is 4.

GCF(68160,68164) = 4

We will now calculate the prime factors of 68160 and 68164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68164.

How to find the GCF of 68160 and 68164?

We will first find the prime factorization of 68160 and 68164. After we will calculate the factors of 68160 and 68164 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 68164

Prime factors of 68164 are 2, 17041. Prime factorization of 68164 in exponential form is:

68164 = 2² × 17041¹

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 68164

List of positive integer factors of 68164 that divides 68160 without a remainder.

1, 2, 4, 17041, 34082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68164. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68164 is 4.

Also check out the Least Common Multiple of 68160 and 68164