What is the Greatest Common Factor of 51416 and 51424?

Greatest common factor (GCF) of 51416 and 51424 is 8.

GCF(51416,51424) = 8

We will now calculate the prime factors of 51416 and 51424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51416 and 51424.

How to find the GCF of 51416 and 51424?

We will first find the prime factorization of 51416 and 51424. After we will calculate the factors of 51416 and 51424 and find the biggest common factor number .

Step-1: Prime Factorization of 51416

Prime factors of 51416 are 2, 6427. Prime factorization of 51416 in exponential form is:

51416 = 2³ × 6427¹

Step-2: Prime Factorization of 51424

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

51424 = 2⁵ × 1607¹

Step-3: Factors of 51416

List of positive integer factors of 51416 that divides 51416 without a remainder.

1, 2, 4, 8, 6427, 12854, 25708

Step-4: Factors of 51424

List of positive integer factors of 51424 that divides 51416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51416 and 51424. The biggest common factor number is the GCF number.
So the greatest common factor 51416 and 51424 is 8.

Also check out the Least Common Multiple of 51416 and 51424