What is the Greatest Common Factor of 43664 and 43674?

Greatest common factor (GCF) of 43664 and 43674 is 2.

GCF(43664,43674) = 2

We will now calculate the prime factors of 43664 and 43674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43664 and 43674.

How to find the GCF of 43664 and 43674?

We will first find the prime factorization of 43664 and 43674. After we will calculate the factors of 43664 and 43674 and find the biggest common factor number .

Step-1: Prime Factorization of 43664

Prime factors of 43664 are 2, 2729. Prime factorization of 43664 in exponential form is:

43664 = 2⁴ × 2729¹

Step-2: 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-3: Factors of 43664

List of positive integer factors of 43664 that divides 43664 without a remainder.

1, 2, 4, 8, 16, 2729, 5458, 10916, 21832

Step-4: Factors of 43674

List of positive integer factors of 43674 that divides 43664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43664 and 43674. The biggest common factor number is the GCF number.
So the greatest common factor 43664 and 43674 is 2.

Also check out the Least Common Multiple of 43664 and 43674