What is the Greatest Common Factor of 8540 and 8546?

Greatest common factor (GCF) of 8540 and 8546 is 2.

GCF(8540,8546) = 2

We will now calculate the prime factors of 8540 and 8546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8546.

How to find the GCF of 8540 and 8546?

We will first find the prime factorization of 8540 and 8546. After we will calculate the factors of 8540 and 8546 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 8546

Prime factors of 8546 are 2, 4273. Prime factorization of 8546 in exponential form is:

8546 = 2¹ × 4273¹

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 8546

List of positive integer factors of 8546 that divides 8540 without a remainder.

1, 2, 4273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8546. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8546 is 2.

Also check out the Least Common Multiple of 8540 and 8546