What is the Greatest Common Factor of 43674 and 43678?

Greatest common factor (GCF) of 43674 and 43678 is 2.

GCF(43674,43678) = 2

We will now calculate the prime factors of 43674 and 43678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43674 and 43678.

How to find the GCF of 43674 and 43678?

We will first find the prime factorization of 43674 and 43678. After we will calculate the factors of 43674 and 43678 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 43678

Prime factors of 43678 are 2, 21839. Prime factorization of 43678 in exponential form is:

43678 = 2¹ × 21839¹

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 43678

List of positive integer factors of 43678 that divides 43674 without a remainder.

1, 2, 21839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43674 and 43678. The biggest common factor number is the GCF number.
So the greatest common factor 43674 and 43678 is 2.

Also check out the Least Common Multiple of 43674 and 43678