What is the Greatest Common Factor of 82419 and 82437?

Greatest common factor (GCF) of 82419 and 82437 is 3.

GCF(82419,82437) = 3

We will now calculate the prime factors of 82419 and 82437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82419 and 82437.

How to find the GCF of 82419 and 82437?

We will first find the prime factorization of 82419 and 82437. After we will calculate the factors of 82419 and 82437 and find the biggest common factor number .

Step-1: Prime Factorization of 82419

Prime factors of 82419 are 3, 83, 331. Prime factorization of 82419 in exponential form is:

82419 = 3¹ × 83¹ × 331¹

Step-2: Prime Factorization of 82437

Prime factors of 82437 are 3, 27479. Prime factorization of 82437 in exponential form is:

82437 = 3¹ × 27479¹

Step-3: Factors of 82419

List of positive integer factors of 82419 that divides 82419 without a remainder.

1, 3, 83, 249, 331, 993, 27473

Step-4: Factors of 82437

List of positive integer factors of 82437 that divides 82419 without a remainder.

1, 3, 27479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82419 and 82437. The biggest common factor number is the GCF number.
So the greatest common factor 82419 and 82437 is 3.

Also check out the Least Common Multiple of 82419 and 82437