What is the Greatest Common Factor of 68160 and 68175?

Greatest common factor (GCF) of 68160 and 68175 is 15.

GCF(68160,68175) = 15

We will now calculate the prime factors of 68160 and 68175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68160 and 68175.

How to find the GCF of 68160 and 68175?

We will first find the prime factorization of 68160 and 68175. After we will calculate the factors of 68160 and 68175 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 68175

Prime factors of 68175 are 3, 5, 101. Prime factorization of 68175 in exponential form is:

68175 = 3³ × 5² × 101¹

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 68175

List of positive integer factors of 68175 that divides 68160 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 101, 135, 225, 303, 505, 675, 909, 1515, 2525, 2727, 4545, 7575, 13635, 22725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68160 and 68175. The biggest common factor number is the GCF number.
So the greatest common factor 68160 and 68175 is 15.

Also check out the Least Common Multiple of 68160 and 68175