What is the Greatest Common Factor of 34668 and 34686?

Greatest common factor (GCF) of 34668 and 34686 is 18.

GCF(34668,34686) = 18

We will now calculate the prime factors of 34668 and 34686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34668 and 34686.

How to find the GCF of 34668 and 34686?

We will first find the prime factorization of 34668 and 34686. After we will calculate the factors of 34668 and 34686 and find the biggest common factor number .

Step-1: Prime Factorization of 34668

Prime factors of 34668 are 2, 3, 107. Prime factorization of 34668 in exponential form is:

34668 = 2² × 3⁴ × 107¹

Step-2: Prime Factorization of 34686

Prime factors of 34686 are 2, 3, 41, 47. Prime factorization of 34686 in exponential form is:

34686 = 2¹ × 3² × 41¹ × 47¹

Step-3: Factors of 34668

List of positive integer factors of 34668 that divides 34668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 107, 108, 162, 214, 321, 324, 428, 642, 963, 1284, 1926, 2889, 3852, 5778, 8667, 11556, 17334

Step-4: Factors of 34686

List of positive integer factors of 34686 that divides 34668 without a remainder.

1, 2, 3, 6, 9, 18, 41, 47, 82, 94, 123, 141, 246, 282, 369, 423, 738, 846, 1927, 3854, 5781, 11562, 17343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34668 and 34686. The biggest common factor number is the GCF number.
So the greatest common factor 34668 and 34686 is 18.

Also check out the Least Common Multiple of 34668 and 34686