What is the Greatest Common Factor of 82992 and 82999?

Greatest common factor (GCF) of 82992 and 82999 is 7.

GCF(82992,82999) = 7

We will now calculate the prime factors of 82992 and 82999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82992 and 82999.

How to find the GCF of 82992 and 82999?

We will first find the prime factorization of 82992 and 82999. After we will calculate the factors of 82992 and 82999 and find the biggest common factor number .

Step-1: Prime Factorization of 82992

Prime factors of 82992 are 2, 3, 7, 13, 19. Prime factorization of 82992 in exponential form is:

82992 = 2⁴ × 3¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 82999

Prime factors of 82999 are 7, 71, 167. Prime factorization of 82999 in exponential form is:

82999 = 7¹ × 71¹ × 167¹

Step-3: Factors of 82992

List of positive integer factors of 82992 that divides 82992 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 19, 21, 24, 26, 28, 38, 39, 42, 48, 52, 56, 57, 76, 78, 84, 91, 104, 112, 114, 133, 152, 156, 168, 182, 208, 228, 247, 266, 273, 304, 312, 336, 364, 399, 456, 494, 532, 546, 624, 728, 741, 798, 912, 988, 1064, 1092, 1456, 1482, 1596, 1729, 1976, 2128, 2184, 2964, 3192, 3458, 3952, 4368, 5187, 5928, 6384, 6916, 10374, 11856, 13832, 20748, 27664, 41496

Step-4: Factors of 82999

List of positive integer factors of 82999 that divides 82992 without a remainder.

1, 7, 71, 167, 497, 1169, 11857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82992 and 82999. The biggest common factor number is the GCF number.
So the greatest common factor 82992 and 82999 is 7.

Also check out the Least Common Multiple of 82992 and 82999