What is the Greatest Common Factor of 43614 and 43628?

Greatest common factor (GCF) of 43614 and 43628 is 2.

GCF(43614,43628) = 2

We will now calculate the prime factors of 43614 and 43628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43614 and 43628.

How to find the GCF of 43614 and 43628?

We will first find the prime factorization of 43614 and 43628. After we will calculate the factors of 43614 and 43628 and find the biggest common factor number .

Step-1: Prime Factorization of 43614

Prime factors of 43614 are 2, 3, 2423. Prime factorization of 43614 in exponential form is:

43614 = 2¹ × 3² × 2423¹

Step-2: Prime Factorization of 43628

Prime factors of 43628 are 2, 13, 839. Prime factorization of 43628 in exponential form is:

43628 = 2² × 13¹ × 839¹

Step-3: Factors of 43614

List of positive integer factors of 43614 that divides 43614 without a remainder.

1, 2, 3, 6, 9, 18, 2423, 4846, 7269, 14538, 21807

Step-4: Factors of 43628

List of positive integer factors of 43628 that divides 43614 without a remainder.

1, 2, 4, 13, 26, 52, 839, 1678, 3356, 10907, 21814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43614 and 43628. The biggest common factor number is the GCF number.
So the greatest common factor 43614 and 43628 is 2.

Also check out the Least Common Multiple of 43614 and 43628