What is the Greatest Common Factor of 91487 and 91498?

Greatest common factor (GCF) of 91487 and 91498 is 11.

GCF(91487,91498) = 11

We will now calculate the prime factors of 91487 and 91498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91487 and 91498.

How to find the GCF of 91487 and 91498?

We will first find the prime factorization of 91487 and 91498. After we will calculate the factors of 91487 and 91498 and find the biggest common factor number .

Step-1: Prime Factorization of 91487

Prime factors of 91487 are 11, 8317. Prime factorization of 91487 in exponential form is:

91487 = 11¹ × 8317¹

Step-2: Prime Factorization of 91498

Prime factors of 91498 are 2, 11, 4159. Prime factorization of 91498 in exponential form is:

91498 = 2¹ × 11¹ × 4159¹

Step-3: Factors of 91487

List of positive integer factors of 91487 that divides 91487 without a remainder.

1, 11, 8317

Step-4: Factors of 91498

List of positive integer factors of 91498 that divides 91487 without a remainder.

1, 2, 11, 22, 4159, 8318, 45749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91487 and 91498. The biggest common factor number is the GCF number.
So the greatest common factor 91487 and 91498 is 11.

Also check out the Least Common Multiple of 91487 and 91498