What is the Greatest Common Factor of 34680 and 34690?

Greatest common factor (GCF) of 34680 and 34690 is 10.

GCF(34680,34690) = 10

We will now calculate the prime factors of 34680 and 34690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34680 and 34690.

How to find the GCF of 34680 and 34690?

We will first find the prime factorization of 34680 and 34690. After we will calculate the factors of 34680 and 34690 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 34690

Prime factors of 34690 are 2, 5, 3469. Prime factorization of 34690 in exponential form is:

34690 = 2¹ × 5¹ × 3469¹

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 34690

List of positive integer factors of 34690 that divides 34680 without a remainder.

1, 2, 5, 10, 3469, 6938, 17345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34680 and 34690. The biggest common factor number is the GCF number.
So the greatest common factor 34680 and 34690 is 10.

Also check out the Least Common Multiple of 34680 and 34690