What is the Greatest Common Factor of 84287 and 84294?

Greatest common factor (GCF) of 84287 and 84294 is 7.

GCF(84287,84294) = 7

We will now calculate the prime factors of 84287 and 84294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84287 and 84294.

How to find the GCF of 84287 and 84294?

We will first find the prime factorization of 84287 and 84294. After we will calculate the factors of 84287 and 84294 and find the biggest common factor number .

Step-1: Prime Factorization of 84287

Prime factors of 84287 are 7, 12041. Prime factorization of 84287 in exponential form is:

84287 = 7¹ × 12041¹

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 84287

List of positive integer factors of 84287 that divides 84287 without a remainder.

1, 7, 12041

Step-4: Factors of 84294

List of positive integer factors of 84294 that divides 84287 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 84287 and 84294. The biggest common factor number is the GCF number.
So the greatest common factor 84287 and 84294 is 7.

Also check out the Least Common Multiple of 84287 and 84294