What is the Greatest Common Factor of 84445 and 84460?

Greatest common factor (GCF) of 84445 and 84460 is 5.

GCF(84445,84460) = 5

We will now calculate the prime factors of 84445 and 84460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84445 and 84460.

How to find the GCF of 84445 and 84460?

We will first find the prime factorization of 84445 and 84460. After we will calculate the factors of 84445 and 84460 and find the biggest common factor number .

Step-1: Prime Factorization of 84445

Prime factors of 84445 are 5, 16889. Prime factorization of 84445 in exponential form is:

84445 = 5¹ × 16889¹

Step-2: Prime Factorization of 84460

Prime factors of 84460 are 2, 5, 41, 103. Prime factorization of 84460 in exponential form is:

84460 = 2² × 5¹ × 41¹ × 103¹

Step-3: Factors of 84445

List of positive integer factors of 84445 that divides 84445 without a remainder.

1, 5, 16889

Step-4: Factors of 84460

List of positive integer factors of 84460 that divides 84445 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 103, 164, 205, 206, 410, 412, 515, 820, 1030, 2060, 4223, 8446, 16892, 21115, 42230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84445 and 84460. The biggest common factor number is the GCF number.
So the greatest common factor 84445 and 84460 is 5.

Also check out the Least Common Multiple of 84445 and 84460