What is the Greatest Common Factor of 34686 and 34700?

Greatest common factor (GCF) of 34686 and 34700 is 2.

GCF(34686,34700) = 2

We will now calculate the prime factors of 34686 and 34700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34686 and 34700.

How to find the GCF of 34686 and 34700?

We will first find the prime factorization of 34686 and 34700. After we will calculate the factors of 34686 and 34700 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 34700

Prime factors of 34700 are 2, 5, 347. Prime factorization of 34700 in exponential form is:

34700 = 2² × 5² × 347¹

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 34700

List of positive integer factors of 34700 that divides 34686 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 347, 694, 1388, 1735, 3470, 6940, 8675, 17350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34686 and 34700. The biggest common factor number is the GCF number.
So the greatest common factor 34686 and 34700 is 2.

Also check out the Least Common Multiple of 34686 and 34700