What is the Greatest Common Factor of 51072 and 51084?

Greatest common factor (GCF) of 51072 and 51084 is 12.

GCF(51072,51084) = 12

We will now calculate the prime factors of 51072 and 51084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51072 and 51084.

How to find the GCF of 51072 and 51084?

We will first find the prime factorization of 51072 and 51084. After we will calculate the factors of 51072 and 51084 and find the biggest common factor number .

Step-1: Prime Factorization of 51072

Prime factors of 51072 are 2, 3, 7, 19. Prime factorization of 51072 in exponential form is:

51072 = 2⁷ × 3¹ × 7¹ × 19¹

Step-2: Prime Factorization of 51084

Prime factors of 51084 are 2, 3, 11, 43. Prime factorization of 51084 in exponential form is:

51084 = 2² × 3³ × 11¹ × 43¹

Step-3: Factors of 51072

List of positive integer factors of 51072 that divides 51072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 56, 57, 64, 76, 84, 96, 112, 114, 128, 133, 152, 168, 192, 224, 228, 266, 304, 336, 384, 399, 448, 456, 532, 608, 672, 798, 896, 912, 1064, 1216, 1344, 1596, 1824, 2128, 2432, 2688, 3192, 3648, 4256, 6384, 7296, 8512, 12768, 17024, 25536

Step-4: Factors of 51084

List of positive integer factors of 51084 that divides 51072 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 54, 66, 86, 99, 108, 129, 132, 172, 198, 258, 297, 387, 396, 473, 516, 594, 774, 946, 1161, 1188, 1419, 1548, 1892, 2322, 2838, 4257, 4644, 5676, 8514, 12771, 17028, 25542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51072 and 51084. The biggest common factor number is the GCF number.
So the greatest common factor 51072 and 51084 is 12.

Also check out the Least Common Multiple of 51072 and 51084