What is the Greatest Common Factor of 43968 and 43980?

Greatest common factor (GCF) of 43968 and 43980 is 12.

GCF(43968,43980) = 12

We will now calculate the prime factors of 43968 and 43980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43968 and 43980.

How to find the GCF of 43968 and 43980?

We will first find the prime factorization of 43968 and 43980. After we will calculate the factors of 43968 and 43980 and find the biggest common factor number .

Step-1: Prime Factorization of 43968

Prime factors of 43968 are 2, 3, 229. Prime factorization of 43968 in exponential form is:

43968 = 2⁶ × 3¹ × 229¹

Step-2: Prime Factorization of 43980

Prime factors of 43980 are 2, 3, 5, 733. Prime factorization of 43980 in exponential form is:

43980 = 2² × 3¹ × 5¹ × 733¹

Step-3: Factors of 43968

List of positive integer factors of 43968 that divides 43968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 229, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984

Step-4: Factors of 43980

List of positive integer factors of 43980 that divides 43968 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932, 3665, 4398, 7330, 8796, 10995, 14660, 21990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43968 and 43980. The biggest common factor number is the GCF number.
So the greatest common factor 43968 and 43980 is 12.

Also check out the Least Common Multiple of 43968 and 43980