What is the Greatest Common Factor of 8530 and 8540?

Greatest common factor (GCF) of 8530 and 8540 is 10.

GCF(8530,8540) = 10

We will now calculate the prime factors of 8530 and 8540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8530 and 8540.

How to find the GCF of 8530 and 8540?

We will first find the prime factorization of 8530 and 8540. After we will calculate the factors of 8530 and 8540 and find the biggest common factor number .

Step-1: Prime Factorization of 8530

Prime factors of 8530 are 2, 5, 853. Prime factorization of 8530 in exponential form is:

8530 = 2¹ × 5¹ × 853¹

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 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1, 2, 5, 10, 853, 1706, 4265

Step-4: Factors of 8540

List of positive integer factors of 8540 that divides 8530 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 8530 and 8540. The biggest common factor number is the GCF number.
So the greatest common factor 8530 and 8540 is 10.

Also check out the Least Common Multiple of 8530 and 8540