What is the Greatest Common Factor of 34686 and 34696?

Greatest common factor (GCF) of 34686 and 34696 is 2.

GCF(34686,34696) = 2

We will now calculate the prime factors of 34686 and 34696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34686 and 34696.

How to find the GCF of 34686 and 34696?

We will first find the prime factorization of 34686 and 34696. After we will calculate the factors of 34686 and 34696 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 34696

Prime factors of 34696 are 2, 4337. Prime factorization of 34696 in exponential form is:

34696 = 2³ × 4337¹

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 34696

List of positive integer factors of 34696 that divides 34686 without a remainder.

1, 2, 4, 8, 4337, 8674, 17348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34686 and 34696. The biggest common factor number is the GCF number.
So the greatest common factor 34686 and 34696 is 2.

Also check out the Least Common Multiple of 34686 and 34696