What is the Greatest Common Factor of 46306 and 46326?

Greatest common factor (GCF) of 46306 and 46326 is 2.

GCF(46306,46326) = 2

We will now calculate the prime factors of 46306 and 46326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46306 and 46326.

How to find the GCF of 46306 and 46326?

We will first find the prime factorization of 46306 and 46326. After we will calculate the factors of 46306 and 46326 and find the biggest common factor number .

Step-1: Prime Factorization of 46306

Prime factors of 46306 are 2, 13, 137. Prime factorization of 46306 in exponential form is:

46306 = 2¹ × 13² × 137¹

Step-2: Prime Factorization of 46326

Prime factors of 46326 are 2, 3, 7, 1103. Prime factorization of 46326 in exponential form is:

46326 = 2¹ × 3¹ × 7¹ × 1103¹

Step-3: Factors of 46306

List of positive integer factors of 46306 that divides 46306 without a remainder.

1, 2, 13, 26, 137, 169, 274, 338, 1781, 3562, 23153

Step-4: Factors of 46326

List of positive integer factors of 46326 that divides 46306 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1103, 2206, 3309, 6618, 7721, 15442, 23163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46306 and 46326. The biggest common factor number is the GCF number.
So the greatest common factor 46306 and 46326 is 2.

Also check out the Least Common Multiple of 46306 and 46326