What is the Greatest Common Factor of 34640 and 34645?

Greatest common factor (GCF) of 34640 and 34645 is 5.

GCF(34640,34645) = 5

We will now calculate the prime factors of 34640 and 34645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34640 and 34645.

How to find the GCF of 34640 and 34645?

We will first find the prime factorization of 34640 and 34645. After we will calculate the factors of 34640 and 34645 and find the biggest common factor number .

Step-1: Prime Factorization of 34640

Prime factors of 34640 are 2, 5, 433. Prime factorization of 34640 in exponential form is:

34640 = 2⁴ × 5¹ × 433¹

Step-2: Prime Factorization of 34645

Prime factors of 34645 are 5, 13, 41. Prime factorization of 34645 in exponential form is:

34645 = 5¹ × 13² × 41¹

Step-3: Factors of 34640

List of positive integer factors of 34640 that divides 34640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 433, 866, 1732, 2165, 3464, 4330, 6928, 8660, 17320

Step-4: Factors of 34645

List of positive integer factors of 34645 that divides 34640 without a remainder.

1, 5, 13, 41, 65, 169, 205, 533, 845, 2665, 6929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34640 and 34645. The biggest common factor number is the GCF number.
So the greatest common factor 34640 and 34645 is 5.

Also check out the Least Common Multiple of 34640 and 34645