What is the Greatest Common Factor of 43098 and 43109?

Greatest common factor (GCF) of 43098 and 43109 is 11.

GCF(43098,43109) = 11

We will now calculate the prime factors of 43098 and 43109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43098 and 43109.

How to find the GCF of 43098 and 43109?

We will first find the prime factorization of 43098 and 43109. After we will calculate the factors of 43098 and 43109 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 43109

Prime factors of 43109 are 11, 3919. Prime factorization of 43109 in exponential form is:

43109 = 11¹ × 3919¹

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 43109

List of positive integer factors of 43109 that divides 43098 without a remainder.

1, 11, 3919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43098 and 43109. The biggest common factor number is the GCF number.
So the greatest common factor 43098 and 43109 is 11.

Also check out the Least Common Multiple of 43098 and 43109