What is the Greatest Common Factor of 34600 and 34610?

Greatest common factor (GCF) of 34600 and 34610 is 10.

GCF(34600,34610) = 10

We will now calculate the prime factors of 34600 and 34610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34600 and 34610.

How to find the GCF of 34600 and 34610?

We will first find the prime factorization of 34600 and 34610. After we will calculate the factors of 34600 and 34610 and find the biggest common factor number .

Step-1: Prime Factorization of 34600

Prime factors of 34600 are 2, 5, 173. Prime factorization of 34600 in exponential form is:

34600 = 2³ × 5² × 173¹

Step-2: Prime Factorization of 34610

Prime factors of 34610 are 2, 5, 3461. Prime factorization of 34610 in exponential form is:

34610 = 2¹ × 5¹ × 3461¹

Step-3: Factors of 34600

List of positive integer factors of 34600 that divides 34600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 173, 200, 346, 692, 865, 1384, 1730, 3460, 4325, 6920, 8650, 17300

Step-4: Factors of 34610

List of positive integer factors of 34610 that divides 34600 without a remainder.

1, 2, 5, 10, 3461, 6922, 17305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34600 and 34610. The biggest common factor number is the GCF number.
So the greatest common factor 34600 and 34610 is 10.

Also check out the Least Common Multiple of 34600 and 34610