What is the Greatest Common Factor of 61668 and 61686?

Greatest common factor (GCF) of 61668 and 61686 is 18.

GCF(61668,61686) = 18

We will now calculate the prime factors of 61668 and 61686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61668 and 61686.

How to find the GCF of 61668 and 61686?

We will first find the prime factorization of 61668 and 61686. After we will calculate the factors of 61668 and 61686 and find the biggest common factor number .

Step-1: Prime Factorization of 61668

Prime factors of 61668 are 2, 3, 571. Prime factorization of 61668 in exponential form is:

61668 = 2² × 3³ × 571¹

Step-2: Prime Factorization of 61686

Prime factors of 61686 are 2, 3, 23, 149. Prime factorization of 61686 in exponential form is:

61686 = 2¹ × 3² × 23¹ × 149¹

Step-3: Factors of 61668

List of positive integer factors of 61668 that divides 61668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 571, 1142, 1713, 2284, 3426, 5139, 6852, 10278, 15417, 20556, 30834

Step-4: Factors of 61686

List of positive integer factors of 61686 that divides 61668 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 149, 207, 298, 414, 447, 894, 1341, 2682, 3427, 6854, 10281, 20562, 30843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61668 and 61686. The biggest common factor number is the GCF number.
So the greatest common factor 61668 and 61686 is 18.

Also check out the Least Common Multiple of 61668 and 61686