What is the Greatest Common Factor of 67671 and 67686?

Greatest common factor (GCF) of 67671 and 67686 is 3.

GCF(67671,67686) = 3

We will now calculate the prime factors of 67671 and 67686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67671 and 67686.

How to find the GCF of 67671 and 67686?

We will first find the prime factorization of 67671 and 67686. After we will calculate the factors of 67671 and 67686 and find the biggest common factor number .

Step-1: Prime Factorization of 67671

Prime factors of 67671 are 3, 73, 103. Prime factorization of 67671 in exponential form is:

67671 = 3² × 73¹ × 103¹

Step-2: Prime Factorization of 67686

Prime factors of 67686 are 2, 3, 29, 389. Prime factorization of 67686 in exponential form is:

67686 = 2¹ × 3¹ × 29¹ × 389¹

Step-3: Factors of 67671

List of positive integer factors of 67671 that divides 67671 without a remainder.

1, 3, 9, 73, 103, 219, 309, 657, 927, 7519, 22557

Step-4: Factors of 67686

List of positive integer factors of 67686 that divides 67671 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 389, 778, 1167, 2334, 11281, 22562, 33843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67671 and 67686. The biggest common factor number is the GCF number.
So the greatest common factor 67671 and 67686 is 3.

Also check out the Least Common Multiple of 67671 and 67686