What is the Greatest Common Factor of 51800 and 51808?

Greatest common factor (GCF) of 51800 and 51808 is 8.

GCF(51800,51808) = 8

We will now calculate the prime factors of 51800 and 51808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51800 and 51808.

How to find the GCF of 51800 and 51808?

We will first find the prime factorization of 51800 and 51808. After we will calculate the factors of 51800 and 51808 and find the biggest common factor number .

Step-1: Prime Factorization of 51800

Prime factors of 51800 are 2, 5, 7, 37. Prime factorization of 51800 in exponential form is:

51800 = 2³ × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 51808

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

51808 = 2⁵ × 1619¹

Step-3: Factors of 51800

List of positive integer factors of 51800 that divides 51800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 37, 40, 50, 56, 70, 74, 100, 140, 148, 175, 185, 200, 259, 280, 296, 350, 370, 518, 700, 740, 925, 1036, 1295, 1400, 1480, 1850, 2072, 2590, 3700, 5180, 6475, 7400, 10360, 12950, 25900

Step-4: Factors of 51808

List of positive integer factors of 51808 that divides 51800 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51800 and 51808. The biggest common factor number is the GCF number.
So the greatest common factor 51800 and 51808 is 8.

Also check out the Least Common Multiple of 51800 and 51808