What is the Greatest Common Factor of 51600 and 51607?

Greatest common factor (GCF) of 51600 and 51607 is 1.

GCF(51600,51607) = 1

We will now calculate the prime factors of 51600 and 51607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51600 and 51607.

How to find the GCF of 51600 and 51607?

We will first find the prime factorization of 51600 and 51607. After we will calculate the factors of 51600 and 51607 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 51607

Prime factors of 51607 are 51607. Prime factorization of 51607 in exponential form is:

51607 = 51607¹

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 51607

List of positive integer factors of 51607 that divides 51600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51600 and 51607. The biggest common factor number is the GCF number.
So the greatest common factor 51600 and 51607 is 1.

Also check out the Least Common Multiple of 51600 and 51607