What is the Greatest Common Factor of 51424 and 51440?

Greatest common factor (GCF) of 51424 and 51440 is 16.

GCF(51424,51440) = 16

We will now calculate the prime factors of 51424 and 51440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51424 and 51440.

How to find the GCF of 51424 and 51440?

We will first find the prime factorization of 51424 and 51440. After we will calculate the factors of 51424 and 51440 and find the biggest common factor number .

Step-1: Prime Factorization of 51424

Prime factors of 51424 are 2, 1607. Prime factorization of 51424 in exponential form is:

51424 = 2⁵ × 1607¹

Step-2: Prime Factorization of 51440

Prime factors of 51440 are 2, 5, 643. Prime factorization of 51440 in exponential form is:

51440 = 2⁴ × 5¹ × 643¹

Step-3: Factors of 51424

List of positive integer factors of 51424 that divides 51424 without a remainder.

1, 2, 4, 8, 16, 32, 1607, 3214, 6428, 12856, 25712

Step-4: Factors of 51440

List of positive integer factors of 51440 that divides 51424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 643, 1286, 2572, 3215, 5144, 6430, 10288, 12860, 25720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51424 and 51440. The biggest common factor number is the GCF number.
So the greatest common factor 51424 and 51440 is 16.

Also check out the Least Common Multiple of 51424 and 51440