What is the Greatest Common Factor of 43538 and 43549?

Greatest common factor (GCF) of 43538 and 43549 is 11.

GCF(43538,43549) = 11

We will now calculate the prime factors of 43538 and 43549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43538 and 43549.

How to find the GCF of 43538 and 43549?

We will first find the prime factorization of 43538 and 43549. After we will calculate the factors of 43538 and 43549 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 43549

Prime factors of 43549 are 11, 37, 107. Prime factorization of 43549 in exponential form is:

43549 = 11¹ × 37¹ × 107¹

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 43549

List of positive integer factors of 43549 that divides 43538 without a remainder.

1, 11, 37, 107, 407, 1177, 3959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43538 and 43549. The biggest common factor number is the GCF number.
So the greatest common factor 43538 and 43549 is 11.

Also check out the Least Common Multiple of 43538 and 43549