What is the Greatest Common Factor of 84286 and 84302?

Greatest common factor (GCF) of 84286 and 84302 is 2.

GCF(84286,84302) = 2

We will now calculate the prime factors of 84286 and 84302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84286 and 84302.

How to find the GCF of 84286 and 84302?

We will first find the prime factorization of 84286 and 84302. After we will calculate the factors of 84286 and 84302 and find the biggest common factor number .

Step-1: Prime Factorization of 84286

Prime factors of 84286 are 2, 17, 37, 67. Prime factorization of 84286 in exponential form is:

84286 = 2¹ × 17¹ × 37¹ × 67¹

Step-2: Prime Factorization of 84302

Prime factors of 84302 are 2, 61, 691. Prime factorization of 84302 in exponential form is:

84302 = 2¹ × 61¹ × 691¹

Step-3: Factors of 84286

List of positive integer factors of 84286 that divides 84286 without a remainder.

1, 2, 17, 34, 37, 67, 74, 134, 629, 1139, 1258, 2278, 2479, 4958, 42143

Step-4: Factors of 84302

List of positive integer factors of 84302 that divides 84286 without a remainder.

1, 2, 61, 122, 691, 1382, 42151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84286 and 84302. The biggest common factor number is the GCF number.
So the greatest common factor 84286 and 84302 is 2.

Also check out the Least Common Multiple of 84286 and 84302