What is the Greatest Common Factor of 82692 and 82704?

Greatest common factor (GCF) of 82692 and 82704 is 12.

GCF(82692,82704) = 12

We will now calculate the prime factors of 82692 and 82704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82692 and 82704.

How to find the GCF of 82692 and 82704?

We will first find the prime factorization of 82692 and 82704. After we will calculate the factors of 82692 and 82704 and find the biggest common factor number .

Step-1: Prime Factorization of 82692

Prime factors of 82692 are 2, 3, 2297. Prime factorization of 82692 in exponential form is:

82692 = 2² × 3² × 2297¹

Step-2: Prime Factorization of 82704

Prime factors of 82704 are 2, 3, 1723. Prime factorization of 82704 in exponential form is:

82704 = 2⁴ × 3¹ × 1723¹

Step-3: Factors of 82692

List of positive integer factors of 82692 that divides 82692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2297, 4594, 6891, 9188, 13782, 20673, 27564, 41346

Step-4: Factors of 82704

List of positive integer factors of 82704 that divides 82692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1723, 3446, 5169, 6892, 10338, 13784, 20676, 27568, 41352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82692 and 82704. The biggest common factor number is the GCF number.
So the greatest common factor 82692 and 82704 is 12.

Also check out the Least Common Multiple of 82692 and 82704