What is the Greatest Common Factor of 46749 and 46761?

Greatest common factor (GCF) of 46749 and 46761 is 3.

GCF(46749,46761) = 3

We will now calculate the prime factors of 46749 and 46761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46749 and 46761.

How to find the GCF of 46749 and 46761?

We will first find the prime factorization of 46749 and 46761. After we will calculate the factors of 46749 and 46761 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 46761

Prime factors of 46761 are 3, 11, 13, 109. Prime factorization of 46761 in exponential form is:

46761 = 3¹ × 11¹ × 13¹ × 109¹

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 46761

List of positive integer factors of 46761 that divides 46749 without a remainder.

1, 3, 11, 13, 33, 39, 109, 143, 327, 429, 1199, 1417, 3597, 4251, 15587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46749 and 46761. The biggest common factor number is the GCF number.
So the greatest common factor 46749 and 46761 is 3.

Also check out the Least Common Multiple of 46749 and 46761