What is the Greatest Common Factor of 82353 and 82362?

Greatest common factor (GCF) of 82353 and 82362 is 3.

GCF(82353,82362) = 3

We will now calculate the prime factors of 82353 and 82362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82353 and 82362.

How to find the GCF of 82353 and 82362?

We will first find the prime factorization of 82353 and 82362. After we will calculate the factors of 82353 and 82362 and find the biggest common factor number .

Step-1: Prime Factorization of 82353

Prime factors of 82353 are 3, 97, 283. Prime factorization of 82353 in exponential form is:

82353 = 3¹ × 97¹ × 283¹

Step-2: 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-3: Factors of 82353

List of positive integer factors of 82353 that divides 82353 without a remainder.

1, 3, 97, 283, 291, 849, 27451

Step-4: Factors of 82362

List of positive integer factors of 82362 that divides 82353 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82353 and 82362. The biggest common factor number is the GCF number.
So the greatest common factor 82353 and 82362 is 3.

Also check out the Least Common Multiple of 82353 and 82362