What is the Greatest Common Factor of 79326 and 79334?

Greatest common factor (GCF) of 79326 and 79334 is 2.

GCF(79326,79334) = 2

We will now calculate the prime factors of 79326 and 79334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79326 and 79334.

How to find the GCF of 79326 and 79334?

We will first find the prime factorization of 79326 and 79334. After we will calculate the factors of 79326 and 79334 and find the biggest common factor number .

Step-1: Prime Factorization of 79326

Prime factors of 79326 are 2, 3, 13, 113. Prime factorization of 79326 in exponential form is:

79326 = 2¹ × 3³ × 13¹ × 113¹

Step-2: Prime Factorization of 79334

Prime factors of 79334 are 2, 39667. Prime factorization of 79334 in exponential form is:

79334 = 2¹ × 39667¹

Step-3: Factors of 79326

List of positive integer factors of 79326 that divides 79326 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 113, 117, 226, 234, 339, 351, 678, 702, 1017, 1469, 2034, 2938, 3051, 4407, 6102, 8814, 13221, 26442, 39663

Step-4: Factors of 79334

List of positive integer factors of 79334 that divides 79326 without a remainder.

1, 2, 39667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79326 and 79334. The biggest common factor number is the GCF number.
So the greatest common factor 79326 and 79334 is 2.

Also check out the Least Common Multiple of 79326 and 79334