What is the Greatest Common Factor of 91041 and 91047?

Greatest common factor (GCF) of 91041 and 91047 is 3.

GCF(91041,91047) = 3

We will now calculate the prime factors of 91041 and 91047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91041 and 91047.

How to find the GCF of 91041 and 91047?

We will first find the prime factorization of 91041 and 91047. After we will calculate the factors of 91041 and 91047 and find the biggest common factor number .

Step-1: Prime Factorization of 91041

Prime factors of 91041 are 3, 30347. Prime factorization of 91041 in exponential form is:

91041 = 3¹ × 30347¹

Step-2: Prime Factorization of 91047

Prime factors of 91047 are 3, 11, 31, 89. Prime factorization of 91047 in exponential form is:

91047 = 3¹ × 11¹ × 31¹ × 89¹

Step-3: Factors of 91041

List of positive integer factors of 91041 that divides 91041 without a remainder.

1, 3, 30347

Step-4: Factors of 91047

List of positive integer factors of 91047 that divides 91041 without a remainder.

1, 3, 11, 31, 33, 89, 93, 267, 341, 979, 1023, 2759, 2937, 8277, 30349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91041 and 91047. The biggest common factor number is the GCF number.
So the greatest common factor 91041 and 91047 is 3.

Also check out the Least Common Multiple of 91041 and 91047