What is the Greatest Common Factor of 43076 and 43091?

Greatest common factor (GCF) of 43076 and 43091 is 1.

GCF(43076,43091) = 1

We will now calculate the prime factors of 43076 and 43091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43076 and 43091.

How to find the GCF of 43076 and 43091?

We will first find the prime factorization of 43076 and 43091. After we will calculate the factors of 43076 and 43091 and find the biggest common factor number .

Step-1: Prime Factorization of 43076

Prime factors of 43076 are 2, 11, 89. Prime factorization of 43076 in exponential form is:

43076 = 2² × 11² × 89¹

Step-2: Prime Factorization of 43091

Prime factors of 43091 are 41, 1051. Prime factorization of 43091 in exponential form is:

43091 = 41¹ × 1051¹

Step-3: Factors of 43076

List of positive integer factors of 43076 that divides 43076 without a remainder.

1, 2, 4, 11, 22, 44, 89, 121, 178, 242, 356, 484, 979, 1958, 3916, 10769, 21538

Step-4: Factors of 43091

List of positive integer factors of 43091 that divides 43076 without a remainder.

1, 41, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43076 and 43091. The biggest common factor number is the GCF number.
So the greatest common factor 43076 and 43091 is 1.

Also check out the Least Common Multiple of 43076 and 43091