What is the Greatest Common Factor of 84500 and 84509?

Greatest common factor (GCF) of 84500 and 84509 is 1.

GCF(84500,84509) = 1

We will now calculate the prime factors of 84500 and 84509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84500 and 84509.

How to find the GCF of 84500 and 84509?

We will first find the prime factorization of 84500 and 84509. After we will calculate the factors of 84500 and 84509 and find the biggest common factor number .

Step-1: Prime Factorization of 84500

Prime factors of 84500 are 2, 5, 13. Prime factorization of 84500 in exponential form is:

84500 = 2² × 5³ × 13²

Step-2: Prime Factorization of 84509

Prime factors of 84509 are 84509. Prime factorization of 84509 in exponential form is:

84509 = 84509¹

Step-3: Factors of 84500

List of positive integer factors of 84500 that divides 84500 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 169, 250, 260, 325, 338, 500, 650, 676, 845, 1300, 1625, 1690, 3250, 3380, 4225, 6500, 8450, 16900, 21125, 42250

Step-4: Factors of 84509

List of positive integer factors of 84509 that divides 84500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84500 and 84509. The biggest common factor number is the GCF number.
So the greatest common factor 84500 and 84509 is 1.

Also check out the Least Common Multiple of 84500 and 84509