What is the Greatest Common Factor of 43610 and 43625?

Greatest common factor (GCF) of 43610 and 43625 is 5.

GCF(43610,43625) = 5

We will now calculate the prime factors of 43610 and 43625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43610 and 43625.

How to find the GCF of 43610 and 43625?

We will first find the prime factorization of 43610 and 43625. After we will calculate the factors of 43610 and 43625 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43625

Prime factors of 43625 are 5, 349. Prime factorization of 43625 in exponential form is:

43625 = 5³ × 349¹

Step-3: Factors of 43610

List of positive integer factors of 43610 that divides 43610 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

Step-4: Factors of 43625

List of positive integer factors of 43625 that divides 43610 without a remainder.

1, 5, 25, 125, 349, 1745, 8725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43610 and 43625. The biggest common factor number is the GCF number.
So the greatest common factor 43610 and 43625 is 5.

Also check out the Least Common Multiple of 43610 and 43625