What is the Greatest Common Factor of 46770 and 46779?

Greatest common factor (GCF) of 46770 and 46779 is 3.

GCF(46770,46779) = 3

We will now calculate the prime factors of 46770 and 46779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46770 and 46779.

How to find the GCF of 46770 and 46779?

We will first find the prime factorization of 46770 and 46779. After we will calculate the factors of 46770 and 46779 and find the biggest common factor number .

Step-1: Prime Factorization of 46770

Prime factors of 46770 are 2, 3, 5, 1559. Prime factorization of 46770 in exponential form is:

46770 = 2¹ × 3¹ × 5¹ × 1559¹

Step-2: Prime Factorization of 46779

Prime factors of 46779 are 3, 31, 503. Prime factorization of 46779 in exponential form is:

46779 = 3¹ × 31¹ × 503¹

Step-3: Factors of 46770

List of positive integer factors of 46770 that divides 46770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1559, 3118, 4677, 7795, 9354, 15590, 23385

Step-4: Factors of 46779

List of positive integer factors of 46779 that divides 46770 without a remainder.

1, 3, 31, 93, 503, 1509, 15593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46770 and 46779. The biggest common factor number is the GCF number.
So the greatest common factor 46770 and 46779 is 3.

Also check out the Least Common Multiple of 46770 and 46779