What is the Greatest Common Factor of 8540 and 8552?

Greatest common factor (GCF) of 8540 and 8552 is 4.

GCF(8540,8552) = 4

We will now calculate the prime factors of 8540 and 8552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8552.

How to find the GCF of 8540 and 8552?

We will first find the prime factorization of 8540 and 8552. After we will calculate the factors of 8540 and 8552 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 8552

Prime factors of 8552 are 2, 1069. Prime factorization of 8552 in exponential form is:

8552 = 2³ × 1069¹

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 8552

List of positive integer factors of 8552 that divides 8540 without a remainder.

1, 2, 4, 8, 1069, 2138, 4276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8552. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8552 is 4.

Also check out the Least Common Multiple of 8540 and 8552