What is the Greatest Common Factor of 34565 and 34570?

Greatest common factor (GCF) of 34565 and 34570 is 5.

GCF(34565,34570) = 5

We will now calculate the prime factors of 34565 and 34570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34565 and 34570.

How to find the GCF of 34565 and 34570?

We will first find the prime factorization of 34565 and 34570. After we will calculate the factors of 34565 and 34570 and find the biggest common factor number .

Step-1: Prime Factorization of 34565

Prime factors of 34565 are 5, 31, 223. Prime factorization of 34565 in exponential form is:

34565 = 5¹ × 31¹ × 223¹

Step-2: Prime Factorization of 34570

Prime factors of 34570 are 2, 5, 3457. Prime factorization of 34570 in exponential form is:

34570 = 2¹ × 5¹ × 3457¹

Step-3: Factors of 34565

List of positive integer factors of 34565 that divides 34565 without a remainder.

1, 5, 31, 155, 223, 1115, 6913

Step-4: Factors of 34570

List of positive integer factors of 34570 that divides 34565 without a remainder.

1, 2, 5, 10, 3457, 6914, 17285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34565 and 34570. The biggest common factor number is the GCF number.
So the greatest common factor 34565 and 34570 is 5.

Also check out the Least Common Multiple of 34565 and 34570