What is the Greatest Common Factor of 46737 and 46749?

Greatest common factor (GCF) of 46737 and 46749 is 3.

GCF(46737,46749) = 3

We will now calculate the prime factors of 46737 and 46749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46737 and 46749.

How to find the GCF of 46737 and 46749?

We will first find the prime factorization of 46737 and 46749. After we will calculate the factors of 46737 and 46749 and find the biggest common factor number .

Step-1: Prime Factorization of 46737

Prime factors of 46737 are 3, 577. Prime factorization of 46737 in exponential form is:

46737 = 3⁴ × 577¹

Step-2: Prime Factorization of 46749

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

46749 = 3¹ × 15583¹

Step-3: Factors of 46737

List of positive integer factors of 46737 that divides 46737 without a remainder.

1, 3, 9, 27, 81, 577, 1731, 5193, 15579

Step-4: Factors of 46749

List of positive integer factors of 46749 that divides 46737 without a remainder.

1, 3, 15583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46737 and 46749. The biggest common factor number is the GCF number.
So the greatest common factor 46737 and 46749 is 3.

Also check out the Least Common Multiple of 46737 and 46749