What is the Greatest Common Factor of 51058 and 51072?

Greatest common factor (GCF) of 51058 and 51072 is 14.

GCF(51058,51072) = 14

We will now calculate the prime factors of 51058 and 51072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51058 and 51072.

How to find the GCF of 51058 and 51072?

We will first find the prime factorization of 51058 and 51072. After we will calculate the factors of 51058 and 51072 and find the biggest common factor number .

Step-1: Prime Factorization of 51058

Prime factors of 51058 are 2, 7, 521. Prime factorization of 51058 in exponential form is:

51058 = 2¹ × 7² × 521¹

Step-2: 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-3: Factors of 51058

List of positive integer factors of 51058 that divides 51058 without a remainder.

1, 2, 7, 14, 49, 98, 521, 1042, 3647, 7294, 25529

Step-4: Factors of 51072

List of positive integer factors of 51072 that divides 51058 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51058 and 51072. The biggest common factor number is the GCF number.
So the greatest common factor 51058 and 51072 is 14.

Also check out the Least Common Multiple of 51058 and 51072