What is the Greatest Common Factor of 84515 and 84530?

Greatest common factor (GCF) of 84515 and 84530 is 5.

GCF(84515,84530) = 5

We will now calculate the prime factors of 84515 and 84530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84515 and 84530.

How to find the GCF of 84515 and 84530?

We will first find the prime factorization of 84515 and 84530. After we will calculate the factors of 84515 and 84530 and find the biggest common factor number .

Step-1: Prime Factorization of 84515

Prime factors of 84515 are 5, 16903. Prime factorization of 84515 in exponential form is:

84515 = 5¹ × 16903¹

Step-2: Prime Factorization of 84530

Prime factors of 84530 are 2, 5, 79, 107. Prime factorization of 84530 in exponential form is:

84530 = 2¹ × 5¹ × 79¹ × 107¹

Step-3: Factors of 84515

List of positive integer factors of 84515 that divides 84515 without a remainder.

1, 5, 16903

Step-4: Factors of 84530

List of positive integer factors of 84530 that divides 84515 without a remainder.

1, 2, 5, 10, 79, 107, 158, 214, 395, 535, 790, 1070, 8453, 16906, 42265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84515 and 84530. The biggest common factor number is the GCF number.
So the greatest common factor 84515 and 84530 is 5.

Also check out the Least Common Multiple of 84515 and 84530