What is the Greatest Common Factor of 43614 and 43620?

Greatest common factor (GCF) of 43614 and 43620 is 6.

GCF(43614,43620) = 6

We will now calculate the prime factors of 43614 and 43620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43614 and 43620.

How to find the GCF of 43614 and 43620?

We will first find the prime factorization of 43614 and 43620. After we will calculate the factors of 43614 and 43620 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 43620

Prime factors of 43620 are 2, 3, 5, 727. Prime factorization of 43620 in exponential form is:

43620 = 2² × 3¹ × 5¹ × 727¹

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 43620

List of positive integer factors of 43620 that divides 43614 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 727, 1454, 2181, 2908, 3635, 4362, 7270, 8724, 10905, 14540, 21810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43614 and 43620. The biggest common factor number is the GCF number.
So the greatest common factor 43614 and 43620 is 6.

Also check out the Least Common Multiple of 43614 and 43620