What is the Greatest Common Factor of 43508 and 43516?

Greatest common factor (GCF) of 43508 and 43516 is 4.

GCF(43508,43516) = 4

We will now calculate the prime factors of 43508 and 43516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43508 and 43516.

How to find the GCF of 43508 and 43516?

We will first find the prime factorization of 43508 and 43516. After we will calculate the factors of 43508 and 43516 and find the biggest common factor number .

Step-1: Prime Factorization of 43508

Prime factors of 43508 are 2, 73, 149. Prime factorization of 43508 in exponential form is:

43508 = 2² × 73¹ × 149¹

Step-2: 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-3: Factors of 43508

List of positive integer factors of 43508 that divides 43508 without a remainder.

1, 2, 4, 73, 146, 149, 292, 298, 596, 10877, 21754

Step-4: Factors of 43516

List of positive integer factors of 43516 that divides 43508 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43508 and 43516. The biggest common factor number is the GCF number.
So the greatest common factor 43508 and 43516 is 4.

Also check out the Least Common Multiple of 43508 and 43516