What is the Greatest Common Factor of 34686 and 34701?

Greatest common factor (GCF) of 34686 and 34701 is 3.

GCF(34686,34701) = 3

We will now calculate the prime factors of 34686 and 34701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34686 and 34701.

How to find the GCF of 34686 and 34701?

We will first find the prime factorization of 34686 and 34701. After we will calculate the factors of 34686 and 34701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34701

Prime factors of 34701 are 3, 43, 269. Prime factorization of 34701 in exponential form is:

34701 = 3¹ × 43¹ × 269¹

Step-3: Factors of 34686

List of positive integer factors of 34686 that divides 34686 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

Step-4: Factors of 34701

List of positive integer factors of 34701 that divides 34686 without a remainder.

1, 3, 43, 129, 269, 807, 11567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34686 and 34701. The biggest common factor number is the GCF number.
So the greatest common factor 34686 and 34701 is 3.

Also check out the Least Common Multiple of 34686 and 34701