What is the Greatest Common Factor of 8534 and 8540?

Greatest common factor (GCF) of 8534 and 8540 is 2.

GCF(8534,8540) = 2

We will now calculate the prime factors of 8534 and 8540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8534 and 8540.

How to find the GCF of 8534 and 8540?

We will first find the prime factorization of 8534 and 8540. After we will calculate the factors of 8534 and 8540 and find the biggest common factor number .

Step-1: Prime Factorization of 8534

Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:

8534 = 2¹ × 17¹ × 251¹

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 8534

List of positive integer factors of 8534 that divides 8534 without a remainder.

1, 2, 17, 34, 251, 502, 4267

Step-4: Factors of 8540

List of positive integer factors of 8540 that divides 8534 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 8534 and 8540. The biggest common factor number is the GCF number.
So the greatest common factor 8534 and 8540 is 2.

Also check out the Least Common Multiple of 8534 and 8540