What is the Greatest Common Factor of 84885 and 84900?

Greatest common factor (GCF) of 84885 and 84900 is 15.

GCF(84885,84900) = 15

We will now calculate the prime factors of 84885 and 84900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84885 and 84900.

How to find the GCF of 84885 and 84900?

We will first find the prime factorization of 84885 and 84900. After we will calculate the factors of 84885 and 84900 and find the biggest common factor number .

Step-1: Prime Factorization of 84885

Prime factors of 84885 are 3, 5, 5659. Prime factorization of 84885 in exponential form is:

84885 = 3¹ × 5¹ × 5659¹

Step-2: Prime Factorization of 84900

Prime factors of 84900 are 2, 3, 5, 283. Prime factorization of 84900 in exponential form is:

84900 = 2² × 3¹ × 5² × 283¹

Step-3: Factors of 84885

List of positive integer factors of 84885 that divides 84885 without a remainder.

1, 3, 5, 15, 5659, 16977, 28295

Step-4: Factors of 84900

List of positive integer factors of 84900 that divides 84885 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 283, 300, 566, 849, 1132, 1415, 1698, 2830, 3396, 4245, 5660, 7075, 8490, 14150, 16980, 21225, 28300, 42450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84885 and 84900. The biggest common factor number is the GCF number.
So the greatest common factor 84885 and 84900 is 15.

Also check out the Least Common Multiple of 84885 and 84900