What is the Greatest Common Factor of 34686 and 34705?

Greatest common factor (GCF) of 34686 and 34705 is 1.

GCF(34686,34705) = 1

We will now calculate the prime factors of 34686 and 34705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34686 and 34705.

How to find the GCF of 34686 and 34705?

We will first find the prime factorization of 34686 and 34705. After we will calculate the factors of 34686 and 34705 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 34705

Prime factors of 34705 are 5, 11, 631. Prime factorization of 34705 in exponential form is:

34705 = 5¹ × 11¹ × 631¹

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 34705

List of positive integer factors of 34705 that divides 34686 without a remainder.

1, 5, 11, 55, 631, 3155, 6941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34686 and 34705. The biggest common factor number is the GCF number.
So the greatest common factor 34686 and 34705 is 1.

Also check out the Least Common Multiple of 34686 and 34705