What is the Greatest Common Factor of 82764 and 82770?

Greatest common factor (GCF) of 82764 and 82770 is 6.

GCF(82764,82770) = 6

We will now calculate the prime factors of 82764 and 82770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82764 and 82770.

How to find the GCF of 82764 and 82770?

We will first find the prime factorization of 82764 and 82770. After we will calculate the factors of 82764 and 82770 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 82770

Prime factors of 82770 are 2, 3, 5, 31, 89. Prime factorization of 82770 in exponential form is:

82770 = 2¹ × 3¹ × 5¹ × 31¹ × 89¹

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 82770

List of positive integer factors of 82770 that divides 82764 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 89, 93, 155, 178, 186, 267, 310, 445, 465, 534, 890, 930, 1335, 2670, 2759, 5518, 8277, 13795, 16554, 27590, 41385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82764 and 82770. The biggest common factor number is the GCF number.
So the greatest common factor 82764 and 82770 is 6.

Also check out the Least Common Multiple of 82764 and 82770