What is the Greatest Common Factor of 84900 and 84913?

Greatest common factor (GCF) of 84900 and 84913 is 1.

GCF(84900,84913) = 1

We will now calculate the prime factors of 84900 and 84913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84900 and 84913.

How to find the GCF of 84900 and 84913?

We will first find the prime factorization of 84900 and 84913. After we will calculate the factors of 84900 and 84913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84913

Prime factors of 84913 are 84913. Prime factorization of 84913 in exponential form is:

84913 = 84913¹

Step-3: Factors of 84900

List of positive integer factors of 84900 that divides 84900 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

Step-4: Factors of 84913

List of positive integer factors of 84913 that divides 84900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84900 and 84913. The biggest common factor number is the GCF number.
So the greatest common factor 84900 and 84913 is 1.

Also check out the Least Common Multiple of 84900 and 84913