What is the Greatest Common Factor of 43540 and 43547?

Greatest common factor (GCF) of 43540 and 43547 is 7.

GCF(43540,43547) = 7

We will now calculate the prime factors of 43540 and 43547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43540 and 43547.

How to find the GCF of 43540 and 43547?

We will first find the prime factorization of 43540 and 43547. After we will calculate the factors of 43540 and 43547 and find the biggest common factor number .

Step-1: Prime Factorization of 43540

Prime factors of 43540 are 2, 5, 7, 311. Prime factorization of 43540 in exponential form is:

43540 = 2² × 5¹ × 7¹ × 311¹

Step-2: Prime Factorization of 43547

Prime factors of 43547 are 7, 6221. Prime factorization of 43547 in exponential form is:

43547 = 7¹ × 6221¹

Step-3: Factors of 43540

List of positive integer factors of 43540 that divides 43540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 311, 622, 1244, 1555, 2177, 3110, 4354, 6220, 8708, 10885, 21770

Step-4: Factors of 43547

List of positive integer factors of 43547 that divides 43540 without a remainder.

1, 7, 6221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43540 and 43547. The biggest common factor number is the GCF number.
So the greatest common factor 43540 and 43547 is 7.

Also check out the Least Common Multiple of 43540 and 43547