What is the Greatest Common Factor of 82992 and 83003?

Greatest common factor (GCF) of 82992 and 83003 is 1.

GCF(82992,83003) = 1

We will now calculate the prime factors of 82992 and 83003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82992 and 83003.

How to find the GCF of 82992 and 83003?

We will first find the prime factorization of 82992 and 83003. After we will calculate the factors of 82992 and 83003 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 83003

Prime factors of 83003 are 83003. Prime factorization of 83003 in exponential form is:

83003 = 83003¹

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 83003

List of positive integer factors of 83003 that divides 82992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82992 and 83003. The biggest common factor number is the GCF number.
So the greatest common factor 82992 and 83003 is 1.

Also check out the Least Common Multiple of 82992 and 83003