What is the Greatest Common Factor of 43600 and 43610?

Greatest common factor (GCF) of 43600 and 43610 is 10.

GCF(43600,43610) = 10

We will now calculate the prime factors of 43600 and 43610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43600 and 43610.

How to find the GCF of 43600 and 43610?

We will first find the prime factorization of 43600 and 43610. After we will calculate the factors of 43600 and 43610 and find the biggest common factor number .

Step-1: Prime Factorization of 43600

Prime factors of 43600 are 2, 5, 109. Prime factorization of 43600 in exponential form is:

43600 = 2⁴ × 5² × 109¹

Step-2: Prime Factorization of 43610

Prime factors of 43610 are 2, 5, 7, 89. Prime factorization of 43610 in exponential form is:

43610 = 2¹ × 5¹ × 7² × 89¹

Step-3: Factors of 43600

List of positive integer factors of 43600 that divides 43600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 109, 200, 218, 400, 436, 545, 872, 1090, 1744, 2180, 2725, 4360, 5450, 8720, 10900, 21800

Step-4: Factors of 43610

List of positive integer factors of 43610 that divides 43600 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 89, 98, 178, 245, 445, 490, 623, 890, 1246, 3115, 4361, 6230, 8722, 21805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43600 and 43610. The biggest common factor number is the GCF number.
So the greatest common factor 43600 and 43610 is 10.

Also check out the Least Common Multiple of 43600 and 43610