What is the Greatest Common Factor of 46749 and 46764?

Greatest common factor (GCF) of 46749 and 46764 is 3.

GCF(46749,46764) = 3

We will now calculate the prime factors of 46749 and 46764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46749 and 46764.

How to find the GCF of 46749 and 46764?

We will first find the prime factorization of 46749 and 46764. After we will calculate the factors of 46749 and 46764 and find the biggest common factor number .

Step-1: Prime Factorization of 46749

Prime factors of 46749 are 3, 15583. Prime factorization of 46749 in exponential form is:

46749 = 3¹ × 15583¹

Step-2: Prime Factorization of 46764

Prime factors of 46764 are 2, 3, 433. Prime factorization of 46764 in exponential form is:

46764 = 2² × 3³ × 433¹

Step-3: Factors of 46749

List of positive integer factors of 46749 that divides 46749 without a remainder.

1, 3, 15583

Step-4: Factors of 46764

List of positive integer factors of 46764 that divides 46749 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 433, 866, 1299, 1732, 2598, 3897, 5196, 7794, 11691, 15588, 23382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46749 and 46764. The biggest common factor number is the GCF number.
So the greatest common factor 46749 and 46764 is 3.

Also check out the Least Common Multiple of 46749 and 46764