What is the Greatest Common Factor of 82355 and 82369?

Greatest common factor (GCF) of 82355 and 82369 is 7.

GCF(82355,82369) = 7

We will now calculate the prime factors of 82355 and 82369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82355 and 82369.

How to find the GCF of 82355 and 82369?

We will first find the prime factorization of 82355 and 82369. After we will calculate the factors of 82355 and 82369 and find the biggest common factor number .

Step-1: Prime Factorization of 82355

Prime factors of 82355 are 5, 7, 13, 181. Prime factorization of 82355 in exponential form is:

82355 = 5¹ × 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 82369

Prime factors of 82369 are 7, 41. Prime factorization of 82369 in exponential form is:

82369 = 7² × 41²

Step-3: Factors of 82355

List of positive integer factors of 82355 that divides 82355 without a remainder.

1, 5, 7, 13, 35, 65, 91, 181, 455, 905, 1267, 2353, 6335, 11765, 16471

Step-4: Factors of 82369

List of positive integer factors of 82369 that divides 82355 without a remainder.

1, 7, 41, 49, 287, 1681, 2009, 11767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82355 and 82369. The biggest common factor number is the GCF number.
So the greatest common factor 82355 and 82369 is 7.

Also check out the Least Common Multiple of 82355 and 82369