What is the Greatest Common Factor of 82872 and 82892?

Greatest common factor (GCF) of 82872 and 82892 is 4.

GCF(82872,82892) = 4

We will now calculate the prime factors of 82872 and 82892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82872 and 82892.

How to find the GCF of 82872 and 82892?

We will first find the prime factorization of 82872 and 82892. After we will calculate the factors of 82872 and 82892 and find the biggest common factor number .

Step-1: Prime Factorization of 82872

Prime factors of 82872 are 2, 3, 1151. Prime factorization of 82872 in exponential form is:

82872 = 2³ × 3² × 1151¹

Step-2: 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-3: Factors of 82872

List of positive integer factors of 82872 that divides 82872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1151, 2302, 3453, 4604, 6906, 9208, 10359, 13812, 20718, 27624, 41436

Step-4: Factors of 82892

List of positive integer factors of 82892 that divides 82872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82872 and 82892. The biggest common factor number is the GCF number.
So the greatest common factor 82872 and 82892 is 4.

Also check out the Least Common Multiple of 82872 and 82892