What is the Greatest Common Factor of 82340 and 82354?

Greatest common factor (GCF) of 82340 and 82354 is 2.

GCF(82340,82354) = 2

We will now calculate the prime factors of 82340 and 82354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82340 and 82354.

How to find the GCF of 82340 and 82354?

We will first find the prime factorization of 82340 and 82354. After we will calculate the factors of 82340 and 82354 and find the biggest common factor number .

Step-1: Prime Factorization of 82340

Prime factors of 82340 are 2, 5, 23, 179. Prime factorization of 82340 in exponential form is:

82340 = 2² × 5¹ × 23¹ × 179¹

Step-2: Prime Factorization of 82354

Prime factors of 82354 are 2, 41177. Prime factorization of 82354 in exponential form is:

82354 = 2¹ × 41177¹

Step-3: Factors of 82340

List of positive integer factors of 82340 that divides 82340 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170

Step-4: Factors of 82354

List of positive integer factors of 82354 that divides 82340 without a remainder.

1, 2, 41177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82340 and 82354. The biggest common factor number is the GCF number.
So the greatest common factor 82340 and 82354 is 2.

Also check out the Least Common Multiple of 82340 and 82354