What is the Greatest Common Factor of 8540 and 8560?

Greatest common factor (GCF) of 8540 and 8560 is 20.

GCF(8540,8560) = 20

We will now calculate the prime factors of 8540 and 8560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8560.

How to find the GCF of 8540 and 8560?

We will first find the prime factorization of 8540 and 8560. After we will calculate the factors of 8540 and 8560 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 8560

Prime factors of 8560 are 2, 5, 107. Prime factorization of 8560 in exponential form is:

8560 = 2⁴ × 5¹ × 107¹

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 8560

List of positive integer factors of 8560 that divides 8540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8560. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8560 is 20.

Also check out the Least Common Multiple of 8540 and 8560