What is the Greatest Common Factor of 46914 and 46923?

Greatest common factor (GCF) of 46914 and 46923 is 3.

GCF(46914,46923) = 3

We will now calculate the prime factors of 46914 and 46923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46914 and 46923.

How to find the GCF of 46914 and 46923?

We will first find the prime factorization of 46914 and 46923. After we will calculate the factors of 46914 and 46923 and find the biggest common factor number .

Step-1: Prime Factorization of 46914

Prime factors of 46914 are 2, 3, 7, 1117. Prime factorization of 46914 in exponential form is:

46914 = 2¹ × 3¹ × 7¹ × 1117¹

Step-2: Prime Factorization of 46923

Prime factors of 46923 are 3, 15641. Prime factorization of 46923 in exponential form is:

46923 = 3¹ × 15641¹

Step-3: Factors of 46914

List of positive integer factors of 46914 that divides 46914 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1117, 2234, 3351, 6702, 7819, 15638, 23457

Step-4: Factors of 46923

List of positive integer factors of 46923 that divides 46914 without a remainder.

1, 3, 15641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46914 and 46923. The biggest common factor number is the GCF number.
So the greatest common factor 46914 and 46923 is 3.

Also check out the Least Common Multiple of 46914 and 46923