What is the Greatest Common Factor of 43625 and 43630?

Greatest common factor (GCF) of 43625 and 43630 is 5.

GCF(43625,43630) = 5

We will now calculate the prime factors of 43625 and 43630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43625 and 43630.

How to find the GCF of 43625 and 43630?

We will first find the prime factorization of 43625 and 43630. After we will calculate the factors of 43625 and 43630 and find the biggest common factor number .

Step-1: Prime Factorization of 43625

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

43625 = 5³ × 349¹

Step-2: Prime Factorization of 43630

Prime factors of 43630 are 2, 5, 4363. Prime factorization of 43630 in exponential form is:

43630 = 2¹ × 5¹ × 4363¹

Step-3: Factors of 43625

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

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

Step-4: Factors of 43630

List of positive integer factors of 43630 that divides 43625 without a remainder.

1, 2, 5, 10, 4363, 8726, 21815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43625 and 43630. The biggest common factor number is the GCF number.
So the greatest common factor 43625 and 43630 is 5.

Also check out the Least Common Multiple of 43625 and 43630