What is the Greatest Common Factor of 51072 and 51086?

Greatest common factor (GCF) of 51072 and 51086 is 14.

GCF(51072,51086) = 14

We will now calculate the prime factors of 51072 and 51086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51072 and 51086.

How to find the GCF of 51072 and 51086?

We will first find the prime factorization of 51072 and 51086. After we will calculate the factors of 51072 and 51086 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 51086

Prime factors of 51086 are 2, 7, 41, 89. Prime factorization of 51086 in exponential form is:

51086 = 2¹ × 7¹ × 41¹ × 89¹

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 51086

List of positive integer factors of 51086 that divides 51072 without a remainder.

1, 2, 7, 14, 41, 82, 89, 178, 287, 574, 623, 1246, 3649, 7298, 25543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51072 and 51086. The biggest common factor number is the GCF number.
So the greatest common factor 51072 and 51086 is 14.

Also check out the Least Common Multiple of 51072 and 51086