What is the Greatest Common Factor of 43538 and 43542?

Greatest common factor (GCF) of 43538 and 43542 is 2.

GCF(43538,43542) = 2

We will now calculate the prime factors of 43538 and 43542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43538 and 43542.

How to find the GCF of 43538 and 43542?

We will first find the prime factorization of 43538 and 43542. After we will calculate the factors of 43538 and 43542 and find the biggest common factor number .

Step-1: Prime Factorization of 43538

Prime factors of 43538 are 2, 11, 1979. Prime factorization of 43538 in exponential form is:

43538 = 2¹ × 11¹ × 1979¹

Step-2: Prime Factorization of 43542

Prime factors of 43542 are 2, 3, 41, 59. Prime factorization of 43542 in exponential form is:

43542 = 2¹ × 3² × 41¹ × 59¹

Step-3: Factors of 43538

List of positive integer factors of 43538 that divides 43538 without a remainder.

1, 2, 11, 22, 1979, 3958, 21769

Step-4: Factors of 43542

List of positive integer factors of 43542 that divides 43538 without a remainder.

1, 2, 3, 6, 9, 18, 41, 59, 82, 118, 123, 177, 246, 354, 369, 531, 738, 1062, 2419, 4838, 7257, 14514, 21771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43538 and 43542. The biggest common factor number is the GCF number.
So the greatest common factor 43538 and 43542 is 2.

Also check out the Least Common Multiple of 43538 and 43542