What is the Greatest Common Factor of 34661 and 34680?

Greatest common factor (GCF) of 34661 and 34680 is 1.

GCF(34661,34680) = 1

We will now calculate the prime factors of 34661 and 34680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34661 and 34680.

How to find the GCF of 34661 and 34680?

We will first find the prime factorization of 34661 and 34680. After we will calculate the factors of 34661 and 34680 and find the biggest common factor number .

Step-1: Prime Factorization of 34661

Prime factors of 34661 are 11, 23, 137. Prime factorization of 34661 in exponential form is:

34661 = 11¹ × 23¹ × 137¹

Step-2: 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-3: Factors of 34661

List of positive integer factors of 34661 that divides 34661 without a remainder.

1, 11, 23, 137, 253, 1507, 3151

Step-4: Factors of 34680

List of positive integer factors of 34680 that divides 34661 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34661 and 34680. The biggest common factor number is the GCF number.
So the greatest common factor 34661 and 34680 is 1.

Also check out the Least Common Multiple of 34661 and 34680