What is the Greatest Common Factor of 82992 and 83004?

Greatest common factor (GCF) of 82992 and 83004 is 12.

GCF(82992,83004) = 12

We will now calculate the prime factors of 82992 and 83004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82992 and 83004.

How to find the GCF of 82992 and 83004?

We will first find the prime factorization of 82992 and 83004. After we will calculate the factors of 82992 and 83004 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 83004

Prime factors of 83004 are 2, 3, 6917. Prime factorization of 83004 in exponential form is:

83004 = 2² × 3¹ × 6917¹

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 83004

List of positive integer factors of 83004 that divides 82992 without a remainder.

1, 2, 3, 4, 6, 12, 6917, 13834, 20751, 27668, 41502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82992 and 83004. The biggest common factor number is the GCF number.
So the greatest common factor 82992 and 83004 is 12.

Also check out the Least Common Multiple of 82992 and 83004