What is the Greatest Common Factor of 51808 and 51816?

Greatest common factor (GCF) of 51808 and 51816 is 8.

GCF(51808,51816) = 8

We will now calculate the prime factors of 51808 and 51816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51808 and 51816.

How to find the GCF of 51808 and 51816?

We will first find the prime factorization of 51808 and 51816. After we will calculate the factors of 51808 and 51816 and find the biggest common factor number .

Step-1: Prime Factorization of 51808

Prime factors of 51808 are 2, 1619. Prime factorization of 51808 in exponential form is:

51808 = 2⁵ × 1619¹

Step-2: Prime Factorization of 51816

Prime factors of 51816 are 2, 3, 17, 127. Prime factorization of 51816 in exponential form is:

51816 = 2³ × 3¹ × 17¹ × 127¹

Step-3: Factors of 51808

List of positive integer factors of 51808 that divides 51808 without a remainder.

1, 2, 4, 8, 16, 32, 1619, 3238, 6476, 12952, 25904

Step-4: Factors of 51816

List of positive integer factors of 51816 that divides 51808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 127, 136, 204, 254, 381, 408, 508, 762, 1016, 1524, 2159, 3048, 4318, 6477, 8636, 12954, 17272, 25908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51808 and 51816. The biggest common factor number is the GCF number.
So the greatest common factor 51808 and 51816 is 8.

Also check out the Least Common Multiple of 51808 and 51816