What is the Greatest Common Factor of 8548 and 8564?

Greatest common factor (GCF) of 8548 and 8564 is 4.

GCF(8548,8564) = 4

We will now calculate the prime factors of 8548 and 8564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8548 and 8564.

How to find the GCF of 8548 and 8564?

We will first find the prime factorization of 8548 and 8564. After we will calculate the factors of 8548 and 8564 and find the biggest common factor number .

Step-1: Prime Factorization of 8548

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

8548 = 2² × 2137¹

Step-2: Prime Factorization of 8564

Prime factors of 8564 are 2, 2141. Prime factorization of 8564 in exponential form is:

8564 = 2² × 2141¹

Step-3: Factors of 8548

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

1, 2, 4, 2137, 4274

Step-4: Factors of 8564

List of positive integer factors of 8564 that divides 8548 without a remainder.

1, 2, 4, 2141, 4282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8548 and 8564. The biggest common factor number is the GCF number.
So the greatest common factor 8548 and 8564 is 4.

Also check out the Least Common Multiple of 8548 and 8564