What is the Greatest Common Factor of 8610 and 8620?

Greatest common factor (GCF) of 8610 and 8620 is 10.

GCF(8610,8620) = 10

We will now calculate the prime factors of 8610 and 8620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8610 and 8620.

How to find the GCF of 8610 and 8620?

We will first find the prime factorization of 8610 and 8620. After we will calculate the factors of 8610 and 8620 and find the biggest common factor number .

Step-1: Prime Factorization of 8610

Prime factors of 8610 are 2, 3, 5, 7, 41. Prime factorization of 8610 in exponential form is:

8610 = 2¹ × 3¹ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 8620

Prime factors of 8620 are 2, 5, 431. Prime factorization of 8620 in exponential form is:

8620 = 2² × 5¹ × 431¹

Step-3: Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305

Step-4: Factors of 8620

List of positive integer factors of 8620 that divides 8610 without a remainder.

1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8610 and 8620. The biggest common factor number is the GCF number.
So the greatest common factor 8610 and 8620 is 10.

Also check out the Least Common Multiple of 8610 and 8620