What is the Greatest Common Factor of 43098 and 43113?

Greatest common factor (GCF) of 43098 and 43113 is 3.

GCF(43098,43113) = 3

We will now calculate the prime factors of 43098 and 43113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43098 and 43113.

How to find the GCF of 43098 and 43113?

We will first find the prime factorization of 43098 and 43113. After we will calculate the factors of 43098 and 43113 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 43113

Prime factors of 43113 are 3, 7, 2053. Prime factorization of 43113 in exponential form is:

43113 = 3¹ × 7¹ × 2053¹

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 43113

List of positive integer factors of 43113 that divides 43098 without a remainder.

1, 3, 7, 21, 2053, 6159, 14371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43098 and 43113. The biggest common factor number is the GCF number.
So the greatest common factor 43098 and 43113 is 3.

Also check out the Least Common Multiple of 43098 and 43113