What is the Greatest Common Factor of 43640 and 43645?

Greatest common factor (GCF) of 43640 and 43645 is 5.

GCF(43640,43645) = 5

We will now calculate the prime factors of 43640 and 43645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43640 and 43645.

How to find the GCF of 43640 and 43645?

We will first find the prime factorization of 43640 and 43645. After we will calculate the factors of 43640 and 43645 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43645

Prime factors of 43645 are 5, 7, 29, 43. Prime factorization of 43645 in exponential form is:

43645 = 5¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 43640

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

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

Step-4: Factors of 43645

List of positive integer factors of 43645 that divides 43640 without a remainder.

1, 5, 7, 29, 35, 43, 145, 203, 215, 301, 1015, 1247, 1505, 6235, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43640 and 43645. The biggest common factor number is the GCF number.
So the greatest common factor 43640 and 43645 is 5.

Also check out the Least Common Multiple of 43640 and 43645