What is the Greatest Common Factor of 82992 and 83006?

Greatest common factor (GCF) of 82992 and 83006 is 14.

GCF(82992,83006) = 14

We will now calculate the prime factors of 82992 and 83006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82992 and 83006.

How to find the GCF of 82992 and 83006?

We will first find the prime factorization of 82992 and 83006. After we will calculate the factors of 82992 and 83006 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 83006

Prime factors of 83006 are 2, 7, 11. Prime factorization of 83006 in exponential form is:

83006 = 2¹ × 7³ × 11²

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 83006

List of positive integer factors of 83006 that divides 82992 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 121, 154, 242, 343, 539, 686, 847, 1078, 1694, 3773, 5929, 7546, 11858, 41503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82992 and 83006. The biggest common factor number is the GCF number.
So the greatest common factor 82992 and 83006 is 14.

Also check out the Least Common Multiple of 82992 and 83006