What is the Greatest Common Factor of 43674 and 43690?

Greatest common factor (GCF) of 43674 and 43690 is 2.

GCF(43674,43690) = 2

We will now calculate the prime factors of 43674 and 43690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43674 and 43690.

How to find the GCF of 43674 and 43690?

We will first find the prime factorization of 43674 and 43690. After we will calculate the factors of 43674 and 43690 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 43690

Prime factors of 43690 are 2, 5, 17, 257. Prime factorization of 43690 in exponential form is:

43690 = 2¹ × 5¹ × 17¹ × 257¹

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 43690

List of positive integer factors of 43690 that divides 43674 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 257, 514, 1285, 2570, 4369, 8738, 21845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43674 and 43690. The biggest common factor number is the GCF number.
So the greatest common factor 43674 and 43690 is 2.

Also check out the Least Common Multiple of 43674 and 43690