What is the Greatest Common Factor of 8540 and 8545?

Greatest common factor (GCF) of 8540 and 8545 is 5.

GCF(8540,8545) = 5

We will now calculate the prime factors of 8540 and 8545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8545.

How to find the GCF of 8540 and 8545?

We will first find the prime factorization of 8540 and 8545. After we will calculate the factors of 8540 and 8545 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 8545

Prime factors of 8545 are 5, 1709. Prime factorization of 8545 in exponential form is:

8545 = 5¹ × 1709¹

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 8545

List of positive integer factors of 8545 that divides 8540 without a remainder.

1, 5, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8545. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8545 is 5.

Also check out the Least Common Multiple of 8540 and 8545