What is the Greatest Common Factor of 84194 and 84205?

Greatest common factor (GCF) of 84194 and 84205 is 11.

GCF(84194,84205) = 11

We will now calculate the prime factors of 84194 and 84205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84194 and 84205.

How to find the GCF of 84194 and 84205?

We will first find the prime factorization of 84194 and 84205. After we will calculate the factors of 84194 and 84205 and find the biggest common factor number .

Step-1: Prime Factorization of 84194

Prime factors of 84194 are 2, 11, 43, 89. Prime factorization of 84194 in exponential form is:

84194 = 2¹ × 11¹ × 43¹ × 89¹

Step-2: 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-3: Factors of 84194

List of positive integer factors of 84194 that divides 84194 without a remainder.

1, 2, 11, 22, 43, 86, 89, 178, 473, 946, 979, 1958, 3827, 7654, 42097

Step-4: Factors of 84205

List of positive integer factors of 84205 that divides 84194 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84194 and 84205. The biggest common factor number is the GCF number.
So the greatest common factor 84194 and 84205 is 11.

Also check out the Least Common Multiple of 84194 and 84205