What is the Greatest Common Factor of 46761 and 46772?

Greatest common factor (GCF) of 46761 and 46772 is 11.

GCF(46761,46772) = 11

We will now calculate the prime factors of 46761 and 46772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46761 and 46772.

How to find the GCF of 46761 and 46772?

We will first find the prime factorization of 46761 and 46772. After we will calculate the factors of 46761 and 46772 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 46772

Prime factors of 46772 are 2, 11, 1063. Prime factorization of 46772 in exponential form is:

46772 = 2² × 11¹ × 1063¹

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 46772

List of positive integer factors of 46772 that divides 46761 without a remainder.

1, 2, 4, 11, 22, 44, 1063, 2126, 4252, 11693, 23386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46761 and 46772. The biggest common factor number is the GCF number.
So the greatest common factor 46761 and 46772 is 11.

Also check out the Least Common Multiple of 46761 and 46772