What is the Greatest Common Factor of 46938 and 46947?

Greatest common factor (GCF) of 46938 and 46947 is 3.

GCF(46938,46947) = 3

We will now calculate the prime factors of 46938 and 46947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46938 and 46947.

How to find the GCF of 46938 and 46947?

We will first find the prime factorization of 46938 and 46947. After we will calculate the factors of 46938 and 46947 and find the biggest common factor number .

Step-1: Prime Factorization of 46938

Prime factors of 46938 are 2, 3, 7823. Prime factorization of 46938 in exponential form is:

46938 = 2¹ × 3¹ × 7823¹

Step-2: Prime Factorization of 46947

Prime factors of 46947 are 3, 15649. Prime factorization of 46947 in exponential form is:

46947 = 3¹ × 15649¹

Step-3: Factors of 46938

List of positive integer factors of 46938 that divides 46938 without a remainder.

1, 2, 3, 6, 7823, 15646, 23469

Step-4: Factors of 46947

List of positive integer factors of 46947 that divides 46938 without a remainder.

1, 3, 15649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46938 and 46947. The biggest common factor number is the GCF number.
So the greatest common factor 46938 and 46947 is 3.

Also check out the Least Common Multiple of 46938 and 46947