What is the Greatest Common Factor of 46773 and 46788?

Greatest common factor (GCF) of 46773 and 46788 is 3.

GCF(46773,46788) = 3

We will now calculate the prime factors of 46773 and 46788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46773 and 46788.

How to find the GCF of 46773 and 46788?

We will first find the prime factorization of 46773 and 46788. After we will calculate the factors of 46773 and 46788 and find the biggest common factor number .

Step-1: Prime Factorization of 46773

Prime factors of 46773 are 3, 5197. Prime factorization of 46773 in exponential form is:

46773 = 3² × 5197¹

Step-2: Prime Factorization of 46788

Prime factors of 46788 are 2, 3, 7, 557. Prime factorization of 46788 in exponential form is:

46788 = 2² × 3¹ × 7¹ × 557¹

Step-3: Factors of 46773

List of positive integer factors of 46773 that divides 46773 without a remainder.

1, 3, 9, 5197, 15591

Step-4: Factors of 46788

List of positive integer factors of 46788 that divides 46773 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 557, 1114, 1671, 2228, 3342, 3899, 6684, 7798, 11697, 15596, 23394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46773 and 46788. The biggest common factor number is the GCF number.
So the greatest common factor 46773 and 46788 is 3.

Also check out the Least Common Multiple of 46773 and 46788