What is the Greatest Common Factor of 91338 and 91342?

Greatest common factor (GCF) of 91338 and 91342 is 2.

GCF(91338,91342) = 2

We will now calculate the prime factors of 91338 and 91342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91338 and 91342.

How to find the GCF of 91338 and 91342?

We will first find the prime factorization of 91338 and 91342. After we will calculate the factors of 91338 and 91342 and find the biggest common factor number .

Step-1: Prime Factorization of 91338

Prime factors of 91338 are 2, 3, 13, 1171. Prime factorization of 91338 in exponential form is:

91338 = 2¹ × 3¹ × 13¹ × 1171¹

Step-2: Prime Factorization of 91342

Prime factors of 91342 are 2, 109, 419. Prime factorization of 91342 in exponential form is:

91342 = 2¹ × 109¹ × 419¹

Step-3: Factors of 91338

List of positive integer factors of 91338 that divides 91338 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1171, 2342, 3513, 7026, 15223, 30446, 45669

Step-4: Factors of 91342

List of positive integer factors of 91342 that divides 91338 without a remainder.

1, 2, 109, 218, 419, 838, 45671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91338 and 91342. The biggest common factor number is the GCF number.
So the greatest common factor 91338 and 91342 is 2.

Also check out the Least Common Multiple of 91338 and 91342