What is the Greatest Common Factor of 47043 and 47061?

Greatest common factor (GCF) of 47043 and 47061 is 9.

GCF(47043,47061) = 9

We will now calculate the prime factors of 47043 and 47061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47043 and 47061.

How to find the GCF of 47043 and 47061?

We will first find the prime factorization of 47043 and 47061. After we will calculate the factors of 47043 and 47061 and find the biggest common factor number .

Step-1: Prime Factorization of 47043

Prime factors of 47043 are 3, 5227. Prime factorization of 47043 in exponential form is:

47043 = 3² × 5227¹

Step-2: Prime Factorization of 47061

Prime factors of 47061 are 3, 7, 83. Prime factorization of 47061 in exponential form is:

47061 = 3⁴ × 7¹ × 83¹

Step-3: Factors of 47043

List of positive integer factors of 47043 that divides 47043 without a remainder.

1, 3, 9, 5227, 15681

Step-4: Factors of 47061

List of positive integer factors of 47061 that divides 47043 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 83, 189, 249, 567, 581, 747, 1743, 2241, 5229, 6723, 15687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47043 and 47061. The biggest common factor number is the GCF number.
So the greatest common factor 47043 and 47061 is 9.

Also check out the Least Common Multiple of 47043 and 47061