What is the Greatest Common Factor of 91004 and 91022?

Greatest common factor (GCF) of 91004 and 91022 is 2.

GCF(91004,91022) = 2

We will now calculate the prime factors of 91004 and 91022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91004 and 91022.

How to find the GCF of 91004 and 91022?

We will first find the prime factorization of 91004 and 91022. After we will calculate the factors of 91004 and 91022 and find the biggest common factor number .

Step-1: Prime Factorization of 91004

Prime factors of 91004 are 2, 22751. Prime factorization of 91004 in exponential form is:

91004 = 2² × 22751¹

Step-2: Prime Factorization of 91022

Prime factors of 91022 are 2, 71, 641. Prime factorization of 91022 in exponential form is:

91022 = 2¹ × 71¹ × 641¹

Step-3: Factors of 91004

List of positive integer factors of 91004 that divides 91004 without a remainder.

1, 2, 4, 22751, 45502

Step-4: Factors of 91022

List of positive integer factors of 91022 that divides 91004 without a remainder.

1, 2, 71, 142, 641, 1282, 45511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91004 and 91022. The biggest common factor number is the GCF number.
So the greatest common factor 91004 and 91022 is 2.

Also check out the Least Common Multiple of 91004 and 91022