What is the Greatest Common Factor of 82977 and 82992?

Greatest common factor (GCF) of 82977 and 82992 is 3.

GCF(82977,82992) = 3

We will now calculate the prime factors of 82977 and 82992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82977 and 82992.

How to find the GCF of 82977 and 82992?

We will first find the prime factorization of 82977 and 82992. After we will calculate the factors of 82977 and 82992 and find the biggest common factor number .

Step-1: Prime Factorization of 82977

Prime factors of 82977 are 3, 17, 1627. Prime factorization of 82977 in exponential form is:

82977 = 3¹ × 17¹ × 1627¹

Step-2: 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-3: Factors of 82977

List of positive integer factors of 82977 that divides 82977 without a remainder.

1, 3, 17, 51, 1627, 4881, 27659

Step-4: Factors of 82992

List of positive integer factors of 82992 that divides 82977 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82977 and 82992. The biggest common factor number is the GCF number.
So the greatest common factor 82977 and 82992 is 3.

Also check out the Least Common Multiple of 82977 and 82992