What is the Greatest Common Factor of 43122 and 43140?

Greatest common factor (GCF) of 43122 and 43140 is 6.

GCF(43122,43140) = 6

We will now calculate the prime factors of 43122 and 43140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43122 and 43140.

How to find the GCF of 43122 and 43140?

We will first find the prime factorization of 43122 and 43140. After we will calculate the factors of 43122 and 43140 and find the biggest common factor number .

Step-1: Prime Factorization of 43122

Prime factors of 43122 are 2, 3, 7187. Prime factorization of 43122 in exponential form is:

43122 = 2¹ × 3¹ × 7187¹

Step-2: Prime Factorization of 43140

Prime factors of 43140 are 2, 3, 5, 719. Prime factorization of 43140 in exponential form is:

43140 = 2² × 3¹ × 5¹ × 719¹

Step-3: Factors of 43122

List of positive integer factors of 43122 that divides 43122 without a remainder.

1, 2, 3, 6, 7187, 14374, 21561

Step-4: Factors of 43140

List of positive integer factors of 43140 that divides 43122 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 719, 1438, 2157, 2876, 3595, 4314, 7190, 8628, 10785, 14380, 21570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43122 and 43140. The biggest common factor number is the GCF number.
So the greatest common factor 43122 and 43140 is 6.

Also check out the Least Common Multiple of 43122 and 43140