What is the Greatest Common Factor of 91077 and 91091?

Greatest common factor (GCF) of 91077 and 91091 is 7.

GCF(91077,91091) = 7

We will now calculate the prime factors of 91077 and 91091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91077 and 91091.

How to find the GCF of 91077 and 91091?

We will first find the prime factorization of 91077 and 91091. After we will calculate the factors of 91077 and 91091 and find the biggest common factor number .

Step-1: Prime Factorization of 91077

Prime factors of 91077 are 3, 7, 4337. Prime factorization of 91077 in exponential form is:

91077 = 3¹ × 7¹ × 4337¹

Step-2: Prime Factorization of 91091

Prime factors of 91091 are 7, 11, 13. Prime factorization of 91091 in exponential form is:

91091 = 7² × 11¹ × 13²

Step-3: Factors of 91077

List of positive integer factors of 91077 that divides 91077 without a remainder.

1, 3, 7, 21, 4337, 13011, 30359

Step-4: Factors of 91091

List of positive integer factors of 91091 that divides 91077 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 169, 539, 637, 1001, 1183, 1859, 7007, 8281, 13013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91077 and 91091. The biggest common factor number is the GCF number.
So the greatest common factor 91077 and 91091 is 7.

Also check out the Least Common Multiple of 91077 and 91091