What is the Greatest Common Factor of 43534 and 43542?

Greatest common factor (GCF) of 43534 and 43542 is 2.

GCF(43534,43542) = 2

We will now calculate the prime factors of 43534 and 43542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43534 and 43542.

How to find the GCF of 43534 and 43542?

We will first find the prime factorization of 43534 and 43542. After we will calculate the factors of 43534 and 43542 and find the biggest common factor number .

Step-1: Prime Factorization of 43534

Prime factors of 43534 are 2, 21767. Prime factorization of 43534 in exponential form is:

43534 = 2¹ × 21767¹

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 43534

List of positive integer factors of 43534 that divides 43534 without a remainder.

1, 2, 21767

Step-4: Factors of 43542

List of positive integer factors of 43542 that divides 43534 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 43534 and 43542. The biggest common factor number is the GCF number.
So the greatest common factor 43534 and 43542 is 2.

Also check out the Least Common Multiple of 43534 and 43542