What is the Greatest Common Factor of 67842 and 67860?

Greatest common factor (GCF) of 67842 and 67860 is 18.

GCF(67842,67860) = 18

We will now calculate the prime factors of 67842 and 67860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67842 and 67860.

How to find the GCF of 67842 and 67860?

We will first find the prime factorization of 67842 and 67860. After we will calculate the factors of 67842 and 67860 and find the biggest common factor number .

Step-1: Prime Factorization of 67842

Prime factors of 67842 are 2, 3, 3769. Prime factorization of 67842 in exponential form is:

67842 = 2¹ × 3² × 3769¹

Step-2: 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-3: Factors of 67842

List of positive integer factors of 67842 that divides 67842 without a remainder.

1, 2, 3, 6, 9, 18, 3769, 7538, 11307, 22614, 33921

Step-4: Factors of 67860

List of positive integer factors of 67860 that divides 67842 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67842 and 67860. The biggest common factor number is the GCF number.
So the greatest common factor 67842 and 67860 is 18.

Also check out the Least Common Multiple of 67842 and 67860