What is the Greatest Common Factor of 46761 and 46774?

Greatest common factor (GCF) of 46761 and 46774 is 13.

GCF(46761,46774) = 13

We will now calculate the prime factors of 46761 and 46774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46761 and 46774.

How to find the GCF of 46761 and 46774?

We will first find the prime factorization of 46761 and 46774. After we will calculate the factors of 46761 and 46774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46774

Prime factors of 46774 are 2, 7, 13, 257. Prime factorization of 46774 in exponential form is:

46774 = 2¹ × 7¹ × 13¹ × 257¹

Step-3: Factors of 46761

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

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

Step-4: Factors of 46774

List of positive integer factors of 46774 that divides 46761 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 257, 514, 1799, 3341, 3598, 6682, 23387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46761 and 46774. The biggest common factor number is the GCF number.
So the greatest common factor 46761 and 46774 is 13.

Also check out the Least Common Multiple of 46761 and 46774