What is the Greatest Common Factor of 82342 and 82348?

Greatest common factor (GCF) of 82342 and 82348 is 2.

GCF(82342,82348) = 2

We will now calculate the prime factors of 82342 and 82348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82342 and 82348.

How to find the GCF of 82342 and 82348?

We will first find the prime factorization of 82342 and 82348. After we will calculate the factors of 82342 and 82348 and find the biggest common factor number .

Step-1: Prime Factorization of 82342

Prime factors of 82342 are 2, 13, 3167. Prime factorization of 82342 in exponential form is:

82342 = 2¹ × 13¹ × 3167¹

Step-2: Prime Factorization of 82348

Prime factors of 82348 are 2, 7, 17, 173. Prime factorization of 82348 in exponential form is:

82348 = 2² × 7¹ × 17¹ × 173¹

Step-3: Factors of 82342

List of positive integer factors of 82342 that divides 82342 without a remainder.

1, 2, 13, 26, 3167, 6334, 41171

Step-4: Factors of 82348

List of positive integer factors of 82348 that divides 82342 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 173, 238, 346, 476, 692, 1211, 2422, 2941, 4844, 5882, 11764, 20587, 41174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82342 and 82348. The biggest common factor number is the GCF number.
So the greatest common factor 82342 and 82348 is 2.

Also check out the Least Common Multiple of 82342 and 82348