What is the Greatest Common Factor of 43080 and 43098?

Greatest common factor (GCF) of 43080 and 43098 is 6.

GCF(43080,43098) = 6

We will now calculate the prime factors of 43080 and 43098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43080 and 43098.

How to find the GCF of 43080 and 43098?

We will first find the prime factorization of 43080 and 43098. After we will calculate the factors of 43080 and 43098 and find the biggest common factor number .

Step-1: Prime Factorization of 43080

Prime factors of 43080 are 2, 3, 5, 359. Prime factorization of 43080 in exponential form is:

43080 = 2³ × 3¹ × 5¹ × 359¹

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 43080

List of positive integer factors of 43080 that divides 43080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 7180, 8616, 10770, 14360, 21540

Step-4: Factors of 43098

List of positive integer factors of 43098 that divides 43080 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 43080 and 43098. The biggest common factor number is the GCF number.
So the greatest common factor 43080 and 43098 is 6.

Also check out the Least Common Multiple of 43080 and 43098