What is the Greatest Common Factor of 8540 and 8554?

Greatest common factor (GCF) of 8540 and 8554 is 14.

GCF(8540,8554) = 14

We will now calculate the prime factors of 8540 and 8554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8540 and 8554.

How to find the GCF of 8540 and 8554?

We will first find the prime factorization of 8540 and 8554. After we will calculate the factors of 8540 and 8554 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 8554

Prime factors of 8554 are 2, 7, 13, 47. Prime factorization of 8554 in exponential form is:

8554 = 2¹ × 7¹ × 13¹ × 47¹

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 8554

List of positive integer factors of 8554 that divides 8540 without a remainder.

1, 2, 7, 13, 14, 26, 47, 91, 94, 182, 329, 611, 658, 1222, 4277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8540 and 8554. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8554 is 14.

Also check out the Least Common Multiple of 8540 and 8554