What is the Greatest Common Factor of 43973 and 43980?

Greatest common factor (GCF) of 43973 and 43980 is 1.

GCF(43973,43980) = 1

We will now calculate the prime factors of 43973 and 43980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43973 and 43980.

How to find the GCF of 43973 and 43980?

We will first find the prime factorization of 43973 and 43980. After we will calculate the factors of 43973 and 43980 and find the biggest common factor number .

Step-1: Prime Factorization of 43973

Prime factors of 43973 are 43973. Prime factorization of 43973 in exponential form is:

43973 = 43973¹

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 43973

List of positive integer factors of 43973 that divides 43973 without a remainder.

Step-4: Factors of 43980

List of positive integer factors of 43980 that divides 43973 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 43973 and 43980. The biggest common factor number is the GCF number.
So the greatest common factor 43973 and 43980 is 1.

Also check out the Least Common Multiple of 43973 and 43980