What is the Greatest Common Factor of 8510 and 8521?

Greatest common factor (GCF) of 8510 and 8521 is 1.

GCF(8510,8521) = 1

We will now calculate the prime factors of 8510 and 8521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8510 and 8521.

How to find the GCF of 8510 and 8521?

We will first find the prime factorization of 8510 and 8521. After we will calculate the factors of 8510 and 8521 and find the biggest common factor number .

Step-1: Prime Factorization of 8510

Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:

8510 = 2¹ × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 8521

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 8521¹

Step-3: Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255

Step-4: Factors of 8521

List of positive integer factors of 8521 that divides 8510 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8510 and 8521. The biggest common factor number is the GCF number.
So the greatest common factor 8510 and 8521 is 1.

Also check out the Least Common Multiple of 8510 and 8521