What is the Greatest Common Factor of 82764 and 82776?

Greatest common factor (GCF) of 82764 and 82776 is 12.

GCF(82764,82776) = 12

We will now calculate the prime factors of 82764 and 82776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82764 and 82776.

How to find the GCF of 82764 and 82776?

We will first find the prime factorization of 82764 and 82776. After we will calculate the factors of 82764 and 82776 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82776

Prime factors of 82776 are 2, 3, 3449. Prime factorization of 82776 in exponential form is:

82776 = 2³ × 3¹ × 3449¹

Step-3: Factors of 82764

List of positive integer factors of 82764 that divides 82764 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

Step-4: Factors of 82776

List of positive integer factors of 82776 that divides 82764 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3449, 6898, 10347, 13796, 20694, 27592, 41388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82764 and 82776. The biggest common factor number is the GCF number.
So the greatest common factor 82764 and 82776 is 12.

Also check out the Least Common Multiple of 82764 and 82776