What is the Greatest Common Factor of 67686 and 67690?

Greatest common factor (GCF) of 67686 and 67690 is 2.

GCF(67686,67690) = 2

We will now calculate the prime factors of 67686 and 67690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67686 and 67690.

How to find the GCF of 67686 and 67690?

We will first find the prime factorization of 67686 and 67690. After we will calculate the factors of 67686 and 67690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67690

Prime factors of 67690 are 2, 5, 7, 967. Prime factorization of 67690 in exponential form is:

67690 = 2¹ × 5¹ × 7¹ × 967¹

Step-3: Factors of 67686

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

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

Step-4: Factors of 67690

List of positive integer factors of 67690 that divides 67686 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 967, 1934, 4835, 6769, 9670, 13538, 33845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67686 and 67690. The biggest common factor number is the GCF number.
So the greatest common factor 67686 and 67690 is 2.

Also check out the Least Common Multiple of 67686 and 67690