What is the Greatest Common Factor of 84289 and 84294?

Greatest common factor (GCF) of 84289 and 84294 is 1.

GCF(84289,84294) = 1

We will now calculate the prime factors of 84289 and 84294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84289 and 84294.

How to find the GCF of 84289 and 84294?

We will first find the prime factorization of 84289 and 84294. After we will calculate the factors of 84289 and 84294 and find the biggest common factor number .

Step-1: Prime Factorization of 84289

Prime factors of 84289 are 31, 2719. Prime factorization of 84289 in exponential form is:

84289 = 31¹ × 2719¹

Step-2: Prime Factorization of 84294

Prime factors of 84294 are 2, 3, 7, 223. Prime factorization of 84294 in exponential form is:

84294 = 2¹ × 3³ × 7¹ × 223¹

Step-3: Factors of 84289

List of positive integer factors of 84289 that divides 84289 without a remainder.

1, 31, 2719

Step-4: Factors of 84294

List of positive integer factors of 84294 that divides 84289 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 223, 378, 446, 669, 1338, 1561, 2007, 3122, 4014, 4683, 6021, 9366, 12042, 14049, 28098, 42147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84289 and 84294. The biggest common factor number is the GCF number.
So the greatest common factor 84289 and 84294 is 1.

Also check out the Least Common Multiple of 84289 and 84294