What is the Greatest Common Factor of 68160 and 68180?

Greatest common factor (GCF) of 68160 and 68180 is 20.

GCF(68160,68180) = 20

We will now calculate the prime factors of 68160 and 68180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68180.

How to find the GCF of 68160 and 68180?

We will first find the prime factorization of 68160 and 68180. After we will calculate the factors of 68160 and 68180 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 68180

Prime factors of 68180 are 2, 5, 7, 487. Prime factorization of 68180 in exponential form is:

68180 = 2² × 5¹ × 7¹ × 487¹

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 68180

List of positive integer factors of 68180 that divides 68160 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 487, 974, 1948, 2435, 3409, 4870, 6818, 9740, 13636, 17045, 34090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68180. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68180 is 20.

Also check out the Least Common Multiple of 68160 and 68180