What is the Greatest Common Factor of 67860 and 67871?

Greatest common factor (GCF) of 67860 and 67871 is 1.

GCF(67860,67871) = 1

We will now calculate the prime factors of 67860 and 67871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67860 and 67871.

How to find the GCF of 67860 and 67871?

We will first find the prime factorization of 67860 and 67871. After we will calculate the factors of 67860 and 67871 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 67871

Prime factors of 67871 are 67, 1013. Prime factorization of 67871 in exponential form is:

67871 = 67¹ × 1013¹

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 67871

List of positive integer factors of 67871 that divides 67860 without a remainder.

1, 67, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67860 and 67871. The biggest common factor number is the GCF number.
So the greatest common factor 67860 and 67871 is 1.

Also check out the Least Common Multiple of 67860 and 67871