What is the Greatest Common Factor of 91754 and 91767?

Greatest common factor (GCF) of 91754 and 91767 is 13.

GCF(91754,91767) = 13

We will now calculate the prime factors of 91754 and 91767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91754 and 91767.

How to find the GCF of 91754 and 91767?

We will first find the prime factorization of 91754 and 91767. After we will calculate the factors of 91754 and 91767 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91767

Prime factors of 91767 are 3, 13, 181. Prime factorization of 91767 in exponential form is:

91767 = 3¹ × 13² × 181¹

Step-3: Factors of 91754

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

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

Step-4: Factors of 91767

List of positive integer factors of 91767 that divides 91754 without a remainder.

1, 3, 13, 39, 169, 181, 507, 543, 2353, 7059, 30589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91754 and 91767. The biggest common factor number is the GCF number.
So the greatest common factor 91754 and 91767 is 13.

Also check out the Least Common Multiple of 91754 and 91767