What is the Greatest Common Factor of 84094 and 84109?

Greatest common factor (GCF) of 84094 and 84109 is 1.

GCF(84094,84109) = 1

We will now calculate the prime factors of 84094 and 84109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84094 and 84109.

How to find the GCF of 84094 and 84109?

We will first find the prime factorization of 84094 and 84109. After we will calculate the factors of 84094 and 84109 and find the biggest common factor number .

Step-1: Prime Factorization of 84094

Prime factors of 84094 are 2, 19, 2213. Prime factorization of 84094 in exponential form is:

84094 = 2¹ × 19¹ × 2213¹

Step-2: Prime Factorization of 84109

Prime factors of 84109 are 241, 349. Prime factorization of 84109 in exponential form is:

84109 = 241¹ × 349¹

Step-3: Factors of 84094

List of positive integer factors of 84094 that divides 84094 without a remainder.

1, 2, 19, 38, 2213, 4426, 42047

Step-4: Factors of 84109

List of positive integer factors of 84109 that divides 84094 without a remainder.

1, 241, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84094 and 84109. The biggest common factor number is the GCF number.
So the greatest common factor 84094 and 84109 is 1.

Also check out the Least Common Multiple of 84094 and 84109