What is the Greatest Common Factor of 43620 and 43640?

Greatest common factor (GCF) of 43620 and 43640 is 20.

GCF(43620,43640) = 20

We will now calculate the prime factors of 43620 and 43640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43620 and 43640.

How to find the GCF of 43620 and 43640?

We will first find the prime factorization of 43620 and 43640. After we will calculate the factors of 43620 and 43640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43640

Prime factors of 43640 are 2, 5, 1091. Prime factorization of 43640 in exponential form is:

43640 = 2³ × 5¹ × 1091¹

Step-3: Factors of 43620

List of positive integer factors of 43620 that divides 43620 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

Step-4: Factors of 43640

List of positive integer factors of 43640 that divides 43620 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1091, 2182, 4364, 5455, 8728, 10910, 21820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43620 and 43640. The biggest common factor number is the GCF number.
So the greatest common factor 43620 and 43640 is 20.

Also check out the Least Common Multiple of 43620 and 43640