What is the Greatest Common Factor of 43615 and 43628?

Greatest common factor (GCF) of 43615 and 43628 is 13.

GCF(43615,43628) = 13

We will now calculate the prime factors of 43615 and 43628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43615 and 43628.

How to find the GCF of 43615 and 43628?

We will first find the prime factorization of 43615 and 43628. After we will calculate the factors of 43615 and 43628 and find the biggest common factor number .

Step-1: Prime Factorization of 43615

Prime factors of 43615 are 5, 11, 13, 61. Prime factorization of 43615 in exponential form is:

43615 = 5¹ × 11¹ × 13¹ × 61¹

Step-2: Prime Factorization of 43628

Prime factors of 43628 are 2, 13, 839. Prime factorization of 43628 in exponential form is:

43628 = 2² × 13¹ × 839¹

Step-3: Factors of 43615

List of positive integer factors of 43615 that divides 43615 without a remainder.

1, 5, 11, 13, 55, 61, 65, 143, 305, 671, 715, 793, 3355, 3965, 8723

Step-4: Factors of 43628

List of positive integer factors of 43628 that divides 43615 without a remainder.

1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43615 and 43628. The biggest common factor number is the GCF number.
So the greatest common factor 43615 and 43628 is 13.

Also check out the Least Common Multiple of 43615 and 43628