What is the Greatest Common Factor of 46767 and 46773?

Greatest common factor (GCF) of 46767 and 46773 is 3.

GCF(46767,46773) = 3

We will now calculate the prime factors of 46767 and 46773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46767 and 46773.

How to find the GCF of 46767 and 46773?

We will first find the prime factorization of 46767 and 46773. After we will calculate the factors of 46767 and 46773 and find the biggest common factor number .

Step-1: Prime Factorization of 46767

Prime factors of 46767 are 3, 7, 17, 131. Prime factorization of 46767 in exponential form is:

46767 = 3¹ × 7¹ × 17¹ × 131¹

Step-2: Prime Factorization of 46773

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

46773 = 3² × 5197¹

Step-3: Factors of 46767

List of positive integer factors of 46767 that divides 46767 without a remainder.

1, 3, 7, 17, 21, 51, 119, 131, 357, 393, 917, 2227, 2751, 6681, 15589

Step-4: Factors of 46773

List of positive integer factors of 46773 that divides 46767 without a remainder.

1, 3, 9, 5197, 15591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46767 and 46773. The biggest common factor number is the GCF number.
So the greatest common factor 46767 and 46773 is 3.

Also check out the Least Common Multiple of 46767 and 46773