What is the Greatest Common Factor of 43491 and 43509?

Greatest common factor (GCF) of 43491 and 43509 is 3.

GCF(43491,43509) = 3

We will now calculate the prime factors of 43491 and 43509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43491 and 43509.

How to find the GCF of 43491 and 43509?

We will first find the prime factorization of 43491 and 43509. After we will calculate the factors of 43491 and 43509 and find the biggest common factor number .

Step-1: Prime Factorization of 43491

Prime factors of 43491 are 3, 7, 19, 109. Prime factorization of 43491 in exponential form is:

43491 = 3¹ × 7¹ × 19¹ × 109¹

Step-2: Prime Factorization of 43509

Prime factors of 43509 are 3, 14503. Prime factorization of 43509 in exponential form is:

43509 = 3¹ × 14503¹

Step-3: Factors of 43491

List of positive integer factors of 43491 that divides 43491 without a remainder.

1, 3, 7, 19, 21, 57, 109, 133, 327, 399, 763, 2071, 2289, 6213, 14497

Step-4: Factors of 43509

List of positive integer factors of 43509 that divides 43491 without a remainder.

1, 3, 14503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43491 and 43509. The biggest common factor number is the GCF number.
So the greatest common factor 43491 and 43509 is 3.

Also check out the Least Common Multiple of 43491 and 43509