What is the Greatest Common Factor of 84205 and 84213?

Greatest common factor (GCF) of 84205 and 84213 is 1.

GCF(84205,84213) = 1

We will now calculate the prime factors of 84205 and 84213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84205 and 84213.

How to find the GCF of 84205 and 84213?

We will first find the prime factorization of 84205 and 84213. After we will calculate the factors of 84205 and 84213 and find the biggest common factor number .

Step-1: Prime Factorization of 84205

Prime factors of 84205 are 5, 11, 1531. Prime factorization of 84205 in exponential form is:

84205 = 5¹ × 11¹ × 1531¹

Step-2: Prime Factorization of 84213

Prime factors of 84213 are 3, 3119. Prime factorization of 84213 in exponential form is:

84213 = 3³ × 3119¹

Step-3: Factors of 84205

List of positive integer factors of 84205 that divides 84205 without a remainder.

1, 5, 11, 55, 1531, 7655, 16841

Step-4: Factors of 84213

List of positive integer factors of 84213 that divides 84205 without a remainder.

1, 3, 9, 27, 3119, 9357, 28071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84205 and 84213. The biggest common factor number is the GCF number.
So the greatest common factor 84205 and 84213 is 1.

Also check out the Least Common Multiple of 84205 and 84213