What is the Greatest Common Factor of 43526 and 43544?

Greatest common factor (GCF) of 43526 and 43544 is 2.

GCF(43526,43544) = 2

We will now calculate the prime factors of 43526 and 43544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43526 and 43544.

How to find the GCF of 43526 and 43544?

We will first find the prime factorization of 43526 and 43544. After we will calculate the factors of 43526 and 43544 and find the biggest common factor number .

Step-1: Prime Factorization of 43526

Prime factors of 43526 are 2, 7, 3109. Prime factorization of 43526 in exponential form is:

43526 = 2¹ × 7¹ × 3109¹

Step-2: Prime Factorization of 43544

Prime factors of 43544 are 2, 5443. Prime factorization of 43544 in exponential form is:

43544 = 2³ × 5443¹

Step-3: Factors of 43526

List of positive integer factors of 43526 that divides 43526 without a remainder.

1, 2, 7, 14, 3109, 6218, 21763

Step-4: Factors of 43544

List of positive integer factors of 43544 that divides 43526 without a remainder.

1, 2, 4, 8, 5443, 10886, 21772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43526 and 43544. The biggest common factor number is the GCF number.
So the greatest common factor 43526 and 43544 is 2.

Also check out the Least Common Multiple of 43526 and 43544