What is the Greatest Common Factor of 82892 and 82912?

Greatest common factor (GCF) of 82892 and 82912 is 4.

GCF(82892,82912) = 4

We will now calculate the prime factors of 82892 and 82912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82892 and 82912.

How to find the GCF of 82892 and 82912?

We will first find the prime factorization of 82892 and 82912. After we will calculate the factors of 82892 and 82912 and find the biggest common factor number .

Step-1: Prime Factorization of 82892

Prime factors of 82892 are 2, 17, 23, 53. Prime factorization of 82892 in exponential form is:

82892 = 2² × 17¹ × 23¹ × 53¹

Step-2: Prime Factorization of 82912

Prime factors of 82912 are 2, 2591. Prime factorization of 82912 in exponential form is:

82912 = 2⁵ × 2591¹

Step-3: Factors of 82892

List of positive integer factors of 82892 that divides 82892 without a remainder.

1, 2, 4, 17, 23, 34, 46, 53, 68, 92, 106, 212, 391, 782, 901, 1219, 1564, 1802, 2438, 3604, 4876, 20723, 41446

Step-4: Factors of 82912

List of positive integer factors of 82912 that divides 82892 without a remainder.

1, 2, 4, 8, 16, 32, 2591, 5182, 10364, 20728, 41456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82892 and 82912. The biggest common factor number is the GCF number.
So the greatest common factor 82892 and 82912 is 4.

Also check out the Least Common Multiple of 82892 and 82912