What is the Greatest Common Factor of 82992 and 83001?

Greatest common factor (GCF) of 82992 and 83001 is 3.

GCF(82992,83001) = 3

We will now calculate the prime factors of 82992 and 83001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82992 and 83001.

How to find the GCF of 82992 and 83001?

We will first find the prime factorization of 82992 and 83001. After we will calculate the factors of 82992 and 83001 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 83001

Prime factors of 83001 are 3, 73, 379. Prime factorization of 83001 in exponential form is:

83001 = 3¹ × 73¹ × 379¹

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 83001

List of positive integer factors of 83001 that divides 82992 without a remainder.

1, 3, 73, 219, 379, 1137, 27667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82992 and 83001. The biggest common factor number is the GCF number.
So the greatest common factor 82992 and 83001 is 3.

Also check out the Least Common Multiple of 82992 and 83001