What is the Greatest Common Factor of 43547 and 43561?

Greatest common factor (GCF) of 43547 and 43561 is 7.

GCF(43547,43561) = 7

We will now calculate the prime factors of 43547 and 43561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43547 and 43561.

How to find the GCF of 43547 and 43561?

We will first find the prime factorization of 43547 and 43561. After we will calculate the factors of 43547 and 43561 and find the biggest common factor number .

Step-1: Prime Factorization of 43547

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

43547 = 7¹ × 6221¹

Step-2: Prime Factorization of 43561

Prime factors of 43561 are 7, 127. Prime factorization of 43561 in exponential form is:

43561 = 7³ × 127¹

Step-3: Factors of 43547

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

1, 7, 6221

Step-4: Factors of 43561

List of positive integer factors of 43561 that divides 43547 without a remainder.

1, 7, 49, 127, 343, 889, 6223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43547 and 43561. The biggest common factor number is the GCF number.
So the greatest common factor 43547 and 43561 is 7.

Also check out the Least Common Multiple of 43547 and 43561