What is the Greatest Common Factor of 82753 and 82764?

Greatest common factor (GCF) of 82753 and 82764 is 11.

GCF(82753,82764) = 11

We will now calculate the prime factors of 82753 and 82764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82753 and 82764.

How to find the GCF of 82753 and 82764?

We will first find the prime factorization of 82753 and 82764. After we will calculate the factors of 82753 and 82764 and find the biggest common factor number .

Step-1: Prime Factorization of 82753

Prime factors of 82753 are 11, 7523. Prime factorization of 82753 in exponential form is:

82753 = 11¹ × 7523¹

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 82753

List of positive integer factors of 82753 that divides 82753 without a remainder.

1, 11, 7523

Step-4: Factors of 82764

List of positive integer factors of 82764 that divides 82753 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 82753 and 82764. The biggest common factor number is the GCF number.
So the greatest common factor 82753 and 82764 is 11.

Also check out the Least Common Multiple of 82753 and 82764