What is the Greatest Common Factor of 43507 and 43516?

Greatest common factor (GCF) of 43507 and 43516 is 1.

GCF(43507,43516) = 1

We will now calculate the prime factors of 43507 and 43516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43507 and 43516.

How to find the GCF of 43507 and 43516?

We will first find the prime factorization of 43507 and 43516. After we will calculate the factors of 43507 and 43516 and find the biggest common factor number .

Step-1: Prime Factorization of 43507

Prime factors of 43507 are 139, 313. Prime factorization of 43507 in exponential form is:

43507 = 139¹ × 313¹

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 43507

List of positive integer factors of 43507 that divides 43507 without a remainder.

1, 139, 313

Step-4: Factors of 43516

List of positive integer factors of 43516 that divides 43507 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 43507 and 43516. The biggest common factor number is the GCF number.
So the greatest common factor 43507 and 43516 is 1.

Also check out the Least Common Multiple of 43507 and 43516