What is the Greatest Common Factor of 43732 and 43745?

Greatest common factor (GCF) of 43732 and 43745 is 13.

GCF(43732,43745) = 13

We will now calculate the prime factors of 43732 and 43745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43732 and 43745.

How to find the GCF of 43732 and 43745?

We will first find the prime factorization of 43732 and 43745. After we will calculate the factors of 43732 and 43745 and find the biggest common factor number .

Step-1: Prime Factorization of 43732

Prime factors of 43732 are 2, 13, 29. Prime factorization of 43732 in exponential form is:

43732 = 2² × 13¹ × 29²

Step-2: Prime Factorization of 43745

Prime factors of 43745 are 5, 13, 673. Prime factorization of 43745 in exponential form is:

43745 = 5¹ × 13¹ × 673¹

Step-3: Factors of 43732

List of positive integer factors of 43732 that divides 43732 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 841, 1508, 1682, 3364, 10933, 21866

Step-4: Factors of 43745

List of positive integer factors of 43745 that divides 43732 without a remainder.

1, 5, 13, 65, 673, 3365, 8749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43732 and 43745. The biggest common factor number is the GCF number.
So the greatest common factor 43732 and 43745 is 13.

Also check out the Least Common Multiple of 43732 and 43745