What is the Greatest Common Factor of 43516 and 43522?

Greatest common factor (GCF) of 43516 and 43522 is 2.

GCF(43516,43522) = 2

We will now calculate the prime factors of 43516 and 43522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43516 and 43522.

How to find the GCF of 43516 and 43522?

We will first find the prime factorization of 43516 and 43522. After we will calculate the factors of 43516 and 43522 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 43522

Prime factors of 43522 are 2, 47, 463. Prime factorization of 43522 in exponential form is:

43522 = 2¹ × 47¹ × 463¹

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 43522

List of positive integer factors of 43522 that divides 43516 without a remainder.

1, 2, 47, 94, 463, 926, 21761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43516 and 43522. The biggest common factor number is the GCF number.
So the greatest common factor 43516 and 43522 is 2.

Also check out the Least Common Multiple of 43516 and 43522