What is the Greatest Common Factor of 82362 and 82378?

Greatest common factor (GCF) of 82362 and 82378 is 2.

GCF(82362,82378) = 2

We will now calculate the prime factors of 82362 and 82378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82362 and 82378.

How to find the GCF of 82362 and 82378?

We will first find the prime factorization of 82362 and 82378. After we will calculate the factors of 82362 and 82378 and find the biggest common factor number .

Step-1: Prime Factorization of 82362

Prime factors of 82362 are 2, 3, 7, 37, 53. Prime factorization of 82362 in exponential form is:

82362 = 2¹ × 3¹ × 7¹ × 37¹ × 53¹

Step-2: Prime Factorization of 82378

Prime factors of 82378 are 2, 41189. Prime factorization of 82378 in exponential form is:

82378 = 2¹ × 41189¹

Step-3: Factors of 82362

List of positive integer factors of 82362 that divides 82362 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 53, 74, 106, 111, 159, 222, 259, 318, 371, 518, 742, 777, 1113, 1554, 1961, 2226, 3922, 5883, 11766, 13727, 27454, 41181

Step-4: Factors of 82378

List of positive integer factors of 82378 that divides 82362 without a remainder.

1, 2, 41189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82362 and 82378. The biggest common factor number is the GCF number.
So the greatest common factor 82362 and 82378 is 2.

Also check out the Least Common Multiple of 82362 and 82378