What is the Greatest Common Factor of 8685 and 8694?

Greatest common factor (GCF) of 8685 and 8694 is 9.

GCF(8685,8694) = 9

We will now calculate the prime factors of 8685 and 8694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8685 and 8694.

How to find the GCF of 8685 and 8694?

We will first find the prime factorization of 8685 and 8694. After we will calculate the factors of 8685 and 8694 and find the biggest common factor number .

Step-1: Prime Factorization of 8685

Prime factors of 8685 are 3, 5, 193. Prime factorization of 8685 in exponential form is:

8685 = 3² × 5¹ × 193¹

Step-2: Prime Factorization of 8694

Prime factors of 8694 are 2, 3, 7, 23. Prime factorization of 8694 in exponential form is:

8694 = 2¹ × 3³ × 7¹ × 23¹

Step-3: Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895

Step-4: Factors of 8694

List of positive integer factors of 8694 that divides 8685 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8685 and 8694. The biggest common factor number is the GCF number.
So the greatest common factor 8685 and 8694 is 9.

Also check out the Least Common Multiple of 8685 and 8694