What is the Greatest Common Factor of 67860 and 67875?

Greatest common factor (GCF) of 67860 and 67875 is 15.

GCF(67860,67875) = 15

We will now calculate the prime factors of 67860 and 67875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67860 and 67875.

How to find the GCF of 67860 and 67875?

We will first find the prime factorization of 67860 and 67875. After we will calculate the factors of 67860 and 67875 and find the biggest common factor number .

Step-1: Prime Factorization of 67860

Prime factors of 67860 are 2, 3, 5, 13, 29. Prime factorization of 67860 in exponential form is:

67860 = 2² × 3² × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 67875

Prime factors of 67875 are 3, 5, 181. Prime factorization of 67875 in exponential form is:

67875 = 3¹ × 5³ × 181¹

Step-3: Factors of 67860

List of positive integer factors of 67860 that divides 67860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 29, 30, 36, 39, 45, 52, 58, 60, 65, 78, 87, 90, 116, 117, 130, 145, 156, 174, 180, 195, 234, 260, 261, 290, 348, 377, 390, 435, 468, 522, 580, 585, 754, 780, 870, 1044, 1131, 1170, 1305, 1508, 1740, 1885, 2262, 2340, 2610, 3393, 3770, 4524, 5220, 5655, 6786, 7540, 11310, 13572, 16965, 22620, 33930

Step-4: Factors of 67875

List of positive integer factors of 67875 that divides 67860 without a remainder.

1, 3, 5, 15, 25, 75, 125, 181, 375, 543, 905, 2715, 4525, 13575, 22625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67860 and 67875. The biggest common factor number is the GCF number.
So the greatest common factor 67860 and 67875 is 15.

Also check out the Least Common Multiple of 67860 and 67875