What is the Greatest Common Factor of 82420 and 82433?

Greatest common factor (GCF) of 82420 and 82433 is 13.

GCF(82420,82433) = 13

We will now calculate the prime factors of 82420 and 82433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82420 and 82433.

How to find the GCF of 82420 and 82433?

We will first find the prime factorization of 82420 and 82433. After we will calculate the factors of 82420 and 82433 and find the biggest common factor number .

Step-1: Prime Factorization of 82420

Prime factors of 82420 are 2, 5, 13, 317. Prime factorization of 82420 in exponential form is:

82420 = 2² × 5¹ × 13¹ × 317¹

Step-2: Prime Factorization of 82433

Prime factors of 82433 are 13, 17, 373. Prime factorization of 82433 in exponential form is:

82433 = 13¹ × 17¹ × 373¹

Step-3: Factors of 82420

List of positive integer factors of 82420 that divides 82420 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 317, 634, 1268, 1585, 3170, 4121, 6340, 8242, 16484, 20605, 41210

Step-4: Factors of 82433

List of positive integer factors of 82433 that divides 82420 without a remainder.

1, 13, 17, 221, 373, 4849, 6341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82420 and 82433. The biggest common factor number is the GCF number.
So the greatest common factor 82420 and 82433 is 13.

Also check out the Least Common Multiple of 82420 and 82433