What is the Greatest Common Factor of 51600 and 51613?

Greatest common factor (GCF) of 51600 and 51613 is 1.

GCF(51600,51613) = 1

We will now calculate the prime factors of 51600 and 51613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51600 and 51613.

How to find the GCF of 51600 and 51613?

We will first find the prime factorization of 51600 and 51613. After we will calculate the factors of 51600 and 51613 and find the biggest common factor number .

Step-1: Prime Factorization of 51600

Prime factors of 51600 are 2, 3, 5, 43. Prime factorization of 51600 in exponential form is:

51600 = 2⁴ × 3¹ × 5² × 43¹

Step-2: Prime Factorization of 51613

Prime factors of 51613 are 51613. Prime factorization of 51613 in exponential form is:

51613 = 51613¹

Step-3: Factors of 51600

List of positive integer factors of 51600 that divides 51600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 43, 48, 50, 60, 75, 80, 86, 100, 120, 129, 150, 172, 200, 215, 240, 258, 300, 344, 400, 430, 516, 600, 645, 688, 860, 1032, 1075, 1200, 1290, 1720, 2064, 2150, 2580, 3225, 3440, 4300, 5160, 6450, 8600, 10320, 12900, 17200, 25800

Step-4: Factors of 51613

List of positive integer factors of 51613 that divides 51600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51600 and 51613. The biggest common factor number is the GCF number.
So the greatest common factor 51600 and 51613 is 1.

Also check out the Least Common Multiple of 51600 and 51613