What is the Greatest Common Factor of 43516 and 43526?

Greatest common factor (GCF) of 43516 and 43526 is 2.

GCF(43516,43526) = 2

We will now calculate the prime factors of 43516 and 43526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43516 and 43526.

How to find the GCF of 43516 and 43526?

We will first find the prime factorization of 43516 and 43526. After we will calculate the factors of 43516 and 43526 and find the biggest common factor number .

Step-1: Prime Factorization of 43516

Prime factors of 43516 are 2, 11, 23, 43. Prime factorization of 43516 in exponential form is:

43516 = 2² × 11¹ × 23¹ × 43¹

Step-2: 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-3: Factors of 43516

List of positive integer factors of 43516 that divides 43516 without a remainder.

1, 2, 4, 11, 22, 23, 43, 44, 46, 86, 92, 172, 253, 473, 506, 946, 989, 1012, 1892, 1978, 3956, 10879, 21758

Step-4: Factors of 43526

List of positive integer factors of 43526 that divides 43516 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43516 and 43526. The biggest common factor number is the GCF number.
So the greatest common factor 43516 and 43526 is 2.

Also check out the Least Common Multiple of 43516 and 43526