What is the Greatest Common Factor of 43098 and 43116?

Greatest common factor (GCF) of 43098 and 43116 is 6.

GCF(43098,43116) = 6

We will now calculate the prime factors of 43098 and 43116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43098 and 43116.

How to find the GCF of 43098 and 43116?

We will first find the prime factorization of 43098 and 43116. After we will calculate the factors of 43098 and 43116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43116

Prime factors of 43116 are 2, 3, 3593. Prime factorization of 43116 in exponential form is:

43116 = 2² × 3¹ × 3593¹

Step-3: Factors of 43098

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

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

Step-4: Factors of 43116

List of positive integer factors of 43116 that divides 43098 without a remainder.

1, 2, 3, 4, 6, 12, 3593, 7186, 10779, 14372, 21558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43098 and 43116. The biggest common factor number is the GCF number.
So the greatest common factor 43098 and 43116 is 6.

Also check out the Least Common Multiple of 43098 and 43116