What is the Greatest Common Factor of 34680 and 34698?

Greatest common factor (GCF) of 34680 and 34698 is 6.

GCF(34680,34698) = 6

We will now calculate the prime factors of 34680 and 34698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34680 and 34698.

How to find the GCF of 34680 and 34698?

We will first find the prime factorization of 34680 and 34698. After we will calculate the factors of 34680 and 34698 and find the biggest common factor number .

Step-1: Prime Factorization of 34680

Prime factors of 34680 are 2, 3, 5, 17. Prime factorization of 34680 in exponential form is:

34680 = 2³ × 3¹ × 5¹ × 17²

Step-2: Prime Factorization of 34698

Prime factors of 34698 are 2, 3, 5783. Prime factorization of 34698 in exponential form is:

34698 = 2¹ × 3¹ × 5783¹

Step-3: Factors of 34680

List of positive integer factors of 34680 that divides 34680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 289, 340, 408, 510, 578, 680, 867, 1020, 1156, 1445, 1734, 2040, 2312, 2890, 3468, 4335, 5780, 6936, 8670, 11560, 17340

Step-4: Factors of 34698

List of positive integer factors of 34698 that divides 34680 without a remainder.

1, 2, 3, 6, 5783, 11566, 17349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34680 and 34698. The biggest common factor number is the GCF number.
So the greatest common factor 34680 and 34698 is 6.

Also check out the Least Common Multiple of 34680 and 34698