What is the Greatest Common Factor of 67860 and 67873?

Greatest common factor (GCF) of 67860 and 67873 is 13.

GCF(67860,67873) = 13

We will now calculate the prime factors of 67860 and 67873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67860 and 67873.

How to find the GCF of 67860 and 67873?

We will first find the prime factorization of 67860 and 67873. After we will calculate the factors of 67860 and 67873 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 67873

Prime factors of 67873 are 13, 23, 227. Prime factorization of 67873 in exponential form is:

67873 = 13¹ × 23¹ × 227¹

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 67873

List of positive integer factors of 67873 that divides 67860 without a remainder.

1, 13, 23, 227, 299, 2951, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67860 and 67873. The biggest common factor number is the GCF number.
So the greatest common factor 67860 and 67873 is 13.

Also check out the Least Common Multiple of 67860 and 67873