What is the Greatest Common Factor of 91422 and 91436?

Greatest common factor (GCF) of 91422 and 91436 is 2.

GCF(91422,91436) = 2

We will now calculate the prime factors of 91422 and 91436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91422 and 91436.

How to find the GCF of 91422 and 91436?

We will first find the prime factorization of 91422 and 91436. After we will calculate the factors of 91422 and 91436 and find the biggest common factor number .

Step-1: Prime Factorization of 91422

Prime factors of 91422 are 2, 3, 1693. Prime factorization of 91422 in exponential form is:

91422 = 2¹ × 3³ × 1693¹

Step-2: Prime Factorization of 91436

Prime factors of 91436 are 2, 22859. Prime factorization of 91436 in exponential form is:

91436 = 2² × 22859¹

Step-3: Factors of 91422

List of positive integer factors of 91422 that divides 91422 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1693, 3386, 5079, 10158, 15237, 30474, 45711

Step-4: Factors of 91436

List of positive integer factors of 91436 that divides 91422 without a remainder.

1, 2, 4, 22859, 45718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91422 and 91436. The biggest common factor number is the GCF number.
So the greatest common factor 91422 and 91436 is 2.

Also check out the Least Common Multiple of 91422 and 91436