What is the Greatest Common Factor of 8540 and 8550?

Greatest common factor (GCF) of 8540 and 8550 is 10.

GCF(8540,8550) = 10

We will now calculate the prime factors of 8540 and 8550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8550.

How to find the GCF of 8540 and 8550?

We will first find the prime factorization of 8540 and 8550. After we will calculate the factors of 8540 and 8550 and find the biggest common factor number .

Step-1: Prime Factorization of 8540

Prime factors of 8540 are 2, 5, 7, 61. Prime factorization of 8540 in exponential form is:

8540 = 2² × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 8550

Prime factors of 8550 are 2, 3, 5, 19. Prime factorization of 8550 in exponential form is:

8550 = 2¹ × 3² × 5² × 19¹

Step-3: Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270

Step-4: Factors of 8550

List of positive integer factors of 8550 that divides 8540 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8550. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8550 is 10.

Also check out the Least Common Multiple of 8540 and 8550