What is the Greatest Common Factor of 34605 and 34620?

Greatest common factor (GCF) of 34605 and 34620 is 15.

GCF(34605,34620) = 15

We will now calculate the prime factors of 34605 and 34620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34605 and 34620.

How to find the GCF of 34605 and 34620?

We will first find the prime factorization of 34605 and 34620. After we will calculate the factors of 34605 and 34620 and find the biggest common factor number .

Step-1: Prime Factorization of 34605

Prime factors of 34605 are 3, 5, 769. Prime factorization of 34605 in exponential form is:

34605 = 3² × 5¹ × 769¹

Step-2: Prime Factorization of 34620

Prime factors of 34620 are 2, 3, 5, 577. Prime factorization of 34620 in exponential form is:

34620 = 2² × 3¹ × 5¹ × 577¹

Step-3: Factors of 34605

List of positive integer factors of 34605 that divides 34605 without a remainder.

1, 3, 5, 9, 15, 45, 769, 2307, 3845, 6921, 11535

Step-4: Factors of 34620

List of positive integer factors of 34620 that divides 34605 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 577, 1154, 1731, 2308, 2885, 3462, 5770, 6924, 8655, 11540, 17310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34605 and 34620. The biggest common factor number is the GCF number.
So the greatest common factor 34605 and 34620 is 15.

Also check out the Least Common Multiple of 34605 and 34620