What is the Greatest Common Factor of 8540 and 8557?

Greatest common factor (GCF) of 8540 and 8557 is 1.

GCF(8540,8557) = 1

We will now calculate the prime factors of 8540 and 8557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8557.

How to find the GCF of 8540 and 8557?

We will first find the prime factorization of 8540 and 8557. After we will calculate the factors of 8540 and 8557 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 8557

Prime factors of 8557 are 43, 199. Prime factorization of 8557 in exponential form is:

8557 = 43¹ × 199¹

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 8557

List of positive integer factors of 8557 that divides 8540 without a remainder.

1, 43, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8557. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8557 is 1.

Also check out the Least Common Multiple of 8540 and 8557