What is the Greatest Common Factor of 8540 and 8548?

Greatest common factor (GCF) of 8540 and 8548 is 4.

GCF(8540,8548) = 4

We will now calculate the prime factors of 8540 and 8548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8548.

How to find the GCF of 8540 and 8548?

We will first find the prime factorization of 8540 and 8548. After we will calculate the factors of 8540 and 8548 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 8548

Prime factors of 8548 are 2, 2137. Prime factorization of 8548 in exponential form is:

8548 = 2² × 2137¹

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 8548

List of positive integer factors of 8548 that divides 8540 without a remainder.

1, 2, 4, 2137, 4274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8548. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8548 is 4.

Also check out the Least Common Multiple of 8540 and 8548