What is the Greatest Common Factor of 91029 and 91047?

Greatest common factor (GCF) of 91029 and 91047 is 3.

GCF(91029,91047) = 3

We will now calculate the prime factors of 91029 and 91047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91029 and 91047.

How to find the GCF of 91029 and 91047?

We will first find the prime factorization of 91029 and 91047. After we will calculate the factors of 91029 and 91047 and find the biggest common factor number .

Step-1: Prime Factorization of 91029

Prime factors of 91029 are 3, 19, 1597. Prime factorization of 91029 in exponential form is:

91029 = 3¹ × 19¹ × 1597¹

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 91029

List of positive integer factors of 91029 that divides 91029 without a remainder.

1, 3, 19, 57, 1597, 4791, 30343

Step-4: Factors of 91047

List of positive integer factors of 91047 that divides 91029 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 91029 and 91047. The biggest common factor number is the GCF number.
So the greatest common factor 91029 and 91047 is 3.

Also check out the Least Common Multiple of 91029 and 91047