GCF and LCM Calculator Logo

What is the Greatest Common Factor of 43980 and 43996?

Greatest common factor (GCF) of 43980 and 43996 is 4.

GCF(43980,43996) = 4

We will now calculate the prime factors of 43980 and 43996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43980 and 43996.

GCF Calculator and
and

How to find the GCF of 43980 and 43996?

We will first find the prime factorization of 43980 and 43996. After we will calculate the factors of 43980 and 43996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43996

Prime factors of 43996 are 2, 17, 647. Prime factorization of 43996 in exponential form is:

43996 = 22 × 171 × 6471

Step-3: Factors of 43980

List of positive integer factors of 43980 that divides 43980 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

Step-4: Factors of 43996

List of positive integer factors of 43996 that divides 43980 without a remainder.

1, 2, 4, 17, 34, 68, 647, 1294, 2588, 10999, 21998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43980 and 43996. The biggest common factor number is the GCF number.
So the greatest common factor 43980 and 43996 is 4.

Also check out the Least Common Multiple of 43980 and 43996