What is the Greatest Common Factor of 8540 and 8555?

Greatest common factor (GCF) of 8540 and 8555 is 5.

GCF(8540,8555) = 5

We will now calculate the prime factors of 8540 and 8555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8555.

How to find the GCF of 8540 and 8555?

We will first find the prime factorization of 8540 and 8555. After we will calculate the factors of 8540 and 8555 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 8555

Prime factors of 8555 are 5, 29, 59. Prime factorization of 8555 in exponential form is:

8555 = 5¹ × 29¹ × 59¹

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 8555

List of positive integer factors of 8555 that divides 8540 without a remainder.

1, 5, 29, 59, 145, 295, 1711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8555. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8555 is 5.

Also check out the Least Common Multiple of 8540 and 8555