What is the Greatest Common Factor of 82744 and 82764?

Greatest common factor (GCF) of 82744 and 82764 is 4.

GCF(82744,82764) = 4

We will now calculate the prime factors of 82744 and 82764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82744 and 82764.

How to find the GCF of 82744 and 82764?

We will first find the prime factorization of 82744 and 82764. After we will calculate the factors of 82744 and 82764 and find the biggest common factor number .

Step-1: Prime Factorization of 82744

Prime factors of 82744 are 2, 10343. Prime factorization of 82744 in exponential form is:

82744 = 2³ × 10343¹

Step-2: Prime Factorization of 82764

Prime factors of 82764 are 2, 3, 11, 19. Prime factorization of 82764 in exponential form is:

82764 = 2² × 3² × 11² × 19¹

Step-3: Factors of 82744

List of positive integer factors of 82744 that divides 82744 without a remainder.

1, 2, 4, 8, 10343, 20686, 41372

Step-4: Factors of 82764

List of positive integer factors of 82764 that divides 82744 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 121, 132, 171, 198, 209, 228, 242, 342, 363, 396, 418, 484, 627, 684, 726, 836, 1089, 1254, 1452, 1881, 2178, 2299, 2508, 3762, 4356, 4598, 6897, 7524, 9196, 13794, 20691, 27588, 41382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82744 and 82764. The biggest common factor number is the GCF number.
So the greatest common factor 82744 and 82764 is 4.

Also check out the Least Common Multiple of 82744 and 82764