What is the Greatest Common Factor of 34508 and 34520?

Greatest common factor (GCF) of 34508 and 34520 is 4.

GCF(34508,34520) = 4

We will now calculate the prime factors of 34508 and 34520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34508 and 34520.

How to find the GCF of 34508 and 34520?

We will first find the prime factorization of 34508 and 34520. After we will calculate the factors of 34508 and 34520 and find the biggest common factor number .

Step-1: Prime Factorization of 34508

Prime factors of 34508 are 2, 8627. Prime factorization of 34508 in exponential form is:

34508 = 2² × 8627¹

Step-2: Prime Factorization of 34520

Prime factors of 34520 are 2, 5, 863. Prime factorization of 34520 in exponential form is:

34520 = 2³ × 5¹ × 863¹

Step-3: Factors of 34508

List of positive integer factors of 34508 that divides 34508 without a remainder.

1, 2, 4, 8627, 17254

Step-4: Factors of 34520

List of positive integer factors of 34520 that divides 34508 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 863, 1726, 3452, 4315, 6904, 8630, 17260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34508 and 34520. The biggest common factor number is the GCF number.
So the greatest common factor 34508 and 34520 is 4.

Also check out the Least Common Multiple of 34508 and 34520