What is the Greatest Common Factor of 43623 and 43637?

Greatest common factor (GCF) of 43623 and 43637 is 1.

GCF(43623,43637) = 1

We will now calculate the prime factors of 43623 and 43637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43623 and 43637.

How to find the GCF of 43623 and 43637?

We will first find the prime factorization of 43623 and 43637. After we will calculate the factors of 43623 and 43637 and find the biggest common factor number .

Step-1: Prime Factorization of 43623

Prime factors of 43623 are 3, 37, 131. Prime factorization of 43623 in exponential form is:

43623 = 3² × 37¹ × 131¹

Step-2: Prime Factorization of 43637

Prime factors of 43637 are 11, 3967. Prime factorization of 43637 in exponential form is:

43637 = 11¹ × 3967¹

Step-3: Factors of 43623

List of positive integer factors of 43623 that divides 43623 without a remainder.

1, 3, 9, 37, 111, 131, 333, 393, 1179, 4847, 14541

Step-4: Factors of 43637

List of positive integer factors of 43637 that divides 43623 without a remainder.

1, 11, 3967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43623 and 43637. The biggest common factor number is the GCF number.
So the greatest common factor 43623 and 43637 is 1.

Also check out the Least Common Multiple of 43623 and 43637