What is the Greatest Common Factor of 43646 and 43660?

Greatest common factor (GCF) of 43646 and 43660 is 2.

GCF(43646,43660) = 2

We will now calculate the prime factors of 43646 and 43660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43646 and 43660.

How to find the GCF of 43646 and 43660?

We will first find the prime factorization of 43646 and 43660. After we will calculate the factors of 43646 and 43660 and find the biggest common factor number .

Step-1: Prime Factorization of 43646

Prime factors of 43646 are 2, 139, 157. Prime factorization of 43646 in exponential form is:

43646 = 2¹ × 139¹ × 157¹

Step-2: Prime Factorization of 43660

Prime factors of 43660 are 2, 5, 37, 59. Prime factorization of 43660 in exponential form is:

43660 = 2² × 5¹ × 37¹ × 59¹

Step-3: Factors of 43646

List of positive integer factors of 43646 that divides 43646 without a remainder.

1, 2, 139, 157, 278, 314, 21823

Step-4: Factors of 43660

List of positive integer factors of 43660 that divides 43646 without a remainder.

1, 2, 4, 5, 10, 20, 37, 59, 74, 118, 148, 185, 236, 295, 370, 590, 740, 1180, 2183, 4366, 8732, 10915, 21830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43646 and 43660. The biggest common factor number is the GCF number.
So the greatest common factor 43646 and 43660 is 2.

Also check out the Least Common Multiple of 43646 and 43660