What is the Greatest Common Factor of 43083 and 43098?

Greatest common factor (GCF) of 43083 and 43098 is 3.

GCF(43083,43098) = 3

We will now calculate the prime factors of 43083 and 43098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43083 and 43098.

How to find the GCF of 43083 and 43098?

We will first find the prime factorization of 43083 and 43098. After we will calculate the factors of 43083 and 43098 and find the biggest common factor number .

Step-1: Prime Factorization of 43083

Prime factors of 43083 are 3, 4787. Prime factorization of 43083 in exponential form is:

43083 = 3² × 4787¹

Step-2: Prime Factorization of 43098

Prime factors of 43098 are 2, 3, 11, 653. Prime factorization of 43098 in exponential form is:

43098 = 2¹ × 3¹ × 11¹ × 653¹

Step-3: Factors of 43083

List of positive integer factors of 43083 that divides 43083 without a remainder.

1, 3, 9, 4787, 14361

Step-4: Factors of 43098

List of positive integer factors of 43098 that divides 43083 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 653, 1306, 1959, 3918, 7183, 14366, 21549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43083 and 43098. The biggest common factor number is the GCF number.
So the greatest common factor 43083 and 43098 is 3.

Also check out the Least Common Multiple of 43083 and 43098