What is the Greatest Common Factor of 43674 and 43689?

Greatest common factor (GCF) of 43674 and 43689 is 3.

GCF(43674,43689) = 3

We will now calculate the prime factors of 43674 and 43689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43674 and 43689.

How to find the GCF of 43674 and 43689?

We will first find the prime factorization of 43674 and 43689. After we will calculate the factors of 43674 and 43689 and find the biggest common factor number .

Step-1: Prime Factorization of 43674

Prime factors of 43674 are 2, 3, 29, 251. Prime factorization of 43674 in exponential form is:

43674 = 2¹ × 3¹ × 29¹ × 251¹

Step-2: Prime Factorization of 43689

Prime factors of 43689 are 3, 14563. Prime factorization of 43689 in exponential form is:

43689 = 3¹ × 14563¹

Step-3: Factors of 43674

List of positive integer factors of 43674 that divides 43674 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 251, 502, 753, 1506, 7279, 14558, 21837

Step-4: Factors of 43689

List of positive integer factors of 43689 that divides 43674 without a remainder.

1, 3, 14563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43674 and 43689. The biggest common factor number is the GCF number.
So the greatest common factor 43674 and 43689 is 3.

Also check out the Least Common Multiple of 43674 and 43689