What is the Greatest Common Factor of 8522 and 8540?

Greatest common factor (GCF) of 8522 and 8540 is 2.

GCF(8522,8540) = 2

We will now calculate the prime factors of 8522 and 8540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8522 and 8540.

How to find the GCF of 8522 and 8540?

We will first find the prime factorization of 8522 and 8540. After we will calculate the factors of 8522 and 8540 and find the biggest common factor number .

Step-1: Prime Factorization of 8522

Prime factors of 8522 are 2, 4261. Prime factorization of 8522 in exponential form is:

8522 = 2¹ × 4261¹

Step-2: 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-3: Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1, 2, 4261

Step-4: Factors of 8540

List of positive integer factors of 8540 that divides 8522 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8522 and 8540. The biggest common factor number is the GCF number.
So the greatest common factor 8522 and 8540 is 2.

Also check out the Least Common Multiple of 8522 and 8540