What is the Greatest Common Factor of 84189 and 84194?

Greatest common factor (GCF) of 84189 and 84194 is 1.

GCF(84189,84194) = 1

We will now calculate the prime factors of 84189 and 84194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84189 and 84194.

How to find the GCF of 84189 and 84194?

We will first find the prime factorization of 84189 and 84194. After we will calculate the factors of 84189 and 84194 and find the biggest common factor number .

Step-1: Prime Factorization of 84189

Prime factors of 84189 are 3, 7, 19, 211. Prime factorization of 84189 in exponential form is:

84189 = 3¹ × 7¹ × 19¹ × 211¹

Step-2: 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-3: Factors of 84189

List of positive integer factors of 84189 that divides 84189 without a remainder.

1, 3, 7, 19, 21, 57, 133, 211, 399, 633, 1477, 4009, 4431, 12027, 28063

Step-4: Factors of 84194

List of positive integer factors of 84194 that divides 84189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84189 and 84194. The biggest common factor number is the GCF number.
So the greatest common factor 84189 and 84194 is 1.

Also check out the Least Common Multiple of 84189 and 84194