What is the Greatest Common Factor of 46326 and 46333?

Greatest common factor (GCF) of 46326 and 46333 is 7.

GCF(46326,46333) = 7

We will now calculate the prime factors of 46326 and 46333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46326 and 46333.

How to find the GCF of 46326 and 46333?

We will first find the prime factorization of 46326 and 46333. After we will calculate the factors of 46326 and 46333 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46333

Prime factors of 46333 are 7, 6619. Prime factorization of 46333 in exponential form is:

46333 = 7¹ × 6619¹

Step-3: Factors of 46326

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

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

Step-4: Factors of 46333

List of positive integer factors of 46333 that divides 46326 without a remainder.

1, 7, 6619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46326 and 46333. The biggest common factor number is the GCF number.
So the greatest common factor 46326 and 46333 is 7.

Also check out the Least Common Multiple of 46326 and 46333