What is the Greatest Common Factor of 43119 and 43131?

Greatest common factor (GCF) of 43119 and 43131 is 3.

GCF(43119,43131) = 3

We will now calculate the prime factors of 43119 and 43131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43119 and 43131.

How to find the GCF of 43119 and 43131?

We will first find the prime factorization of 43119 and 43131. After we will calculate the factors of 43119 and 43131 and find the biggest common factor number .

Step-1: Prime Factorization of 43119

Prime factors of 43119 are 3, 1597. Prime factorization of 43119 in exponential form is:

43119 = 3³ × 1597¹

Step-2: Prime Factorization of 43131

Prime factors of 43131 are 3, 11, 1307. Prime factorization of 43131 in exponential form is:

43131 = 3¹ × 11¹ × 1307¹

Step-3: Factors of 43119

List of positive integer factors of 43119 that divides 43119 without a remainder.

1, 3, 9, 27, 1597, 4791, 14373

Step-4: Factors of 43131

List of positive integer factors of 43131 that divides 43119 without a remainder.

1, 3, 11, 33, 1307, 3921, 14377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43119 and 43131. The biggest common factor number is the GCF number.
So the greatest common factor 43119 and 43131 is 3.

Also check out the Least Common Multiple of 43119 and 43131