What is the Greatest Common Factor of 90922 and 90935?

Greatest common factor (GCF) of 90922 and 90935 is 13.

GCF(90922,90935) = 13

We will now calculate the prime factors of 90922 and 90935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90922 and 90935.

How to find the GCF of 90922 and 90935?

We will first find the prime factorization of 90922 and 90935. After we will calculate the factors of 90922 and 90935 and find the biggest common factor number .

Step-1: Prime Factorization of 90922

Prime factors of 90922 are 2, 13, 269. Prime factorization of 90922 in exponential form is:

90922 = 2¹ × 13² × 269¹

Step-2: Prime Factorization of 90935

Prime factors of 90935 are 5, 13, 1399. Prime factorization of 90935 in exponential form is:

90935 = 5¹ × 13¹ × 1399¹

Step-3: Factors of 90922

List of positive integer factors of 90922 that divides 90922 without a remainder.

1, 2, 13, 26, 169, 269, 338, 538, 3497, 6994, 45461

Step-4: Factors of 90935

List of positive integer factors of 90935 that divides 90922 without a remainder.

1, 5, 13, 65, 1399, 6995, 18187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90922 and 90935. The biggest common factor number is the GCF number.
So the greatest common factor 90922 and 90935 is 13.

Also check out the Least Common Multiple of 90922 and 90935