What is the Greatest Common Factor of 84294 and 84298?

Greatest common factor (GCF) of 84294 and 84298 is 2.

GCF(84294,84298) = 2

We will now calculate the prime factors of 84294 and 84298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84294 and 84298.

How to find the GCF of 84294 and 84298?

We will first find the prime factorization of 84294 and 84298. After we will calculate the factors of 84294 and 84298 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84298

Prime factors of 84298 are 2, 113, 373. Prime factorization of 84298 in exponential form is:

84298 = 2¹ × 113¹ × 373¹

Step-3: Factors of 84294

List of positive integer factors of 84294 that divides 84294 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

Step-4: Factors of 84298

List of positive integer factors of 84298 that divides 84294 without a remainder.

1, 2, 113, 226, 373, 746, 42149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84294 and 84298. The biggest common factor number is the GCF number.
So the greatest common factor 84294 and 84298 is 2.

Also check out the Least Common Multiple of 84294 and 84298