What is the Greatest Common Factor of 91741 and 91754?

Greatest common factor (GCF) of 91741 and 91754 is 13.

GCF(91741,91754) = 13

We will now calculate the prime factors of 91741 and 91754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91741 and 91754.

How to find the GCF of 91741 and 91754?

We will first find the prime factorization of 91741 and 91754. After we will calculate the factors of 91741 and 91754 and find the biggest common factor number .

Step-1: Prime Factorization of 91741

Prime factors of 91741 are 13, 7057. Prime factorization of 91741 in exponential form is:

91741 = 13¹ × 7057¹

Step-2: Prime Factorization of 91754

Prime factors of 91754 are 2, 13, 3529. Prime factorization of 91754 in exponential form is:

91754 = 2¹ × 13¹ × 3529¹

Step-3: Factors of 91741

List of positive integer factors of 91741 that divides 91741 without a remainder.

1, 13, 7057

Step-4: Factors of 91754

List of positive integer factors of 91754 that divides 91741 without a remainder.

1, 2, 13, 26, 3529, 7058, 45877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91741 and 91754. The biggest common factor number is the GCF number.
So the greatest common factor 91741 and 91754 is 13.

Also check out the Least Common Multiple of 91741 and 91754