What is the Greatest Common Factor of 46785 and 46794?

Greatest common factor (GCF) of 46785 and 46794 is 3.

GCF(46785,46794) = 3

We will now calculate the prime factors of 46785 and 46794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46785 and 46794.

How to find the GCF of 46785 and 46794?

We will first find the prime factorization of 46785 and 46794. After we will calculate the factors of 46785 and 46794 and find the biggest common factor number .

Step-1: Prime Factorization of 46785

Prime factors of 46785 are 3, 5, 3119. Prime factorization of 46785 in exponential form is:

46785 = 3¹ × 5¹ × 3119¹

Step-2: Prime Factorization of 46794

Prime factors of 46794 are 2, 3, 11, 709. Prime factorization of 46794 in exponential form is:

46794 = 2¹ × 3¹ × 11¹ × 709¹

Step-3: Factors of 46785

List of positive integer factors of 46785 that divides 46785 without a remainder.

1, 3, 5, 15, 3119, 9357, 15595

Step-4: Factors of 46794

List of positive integer factors of 46794 that divides 46785 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 709, 1418, 2127, 4254, 7799, 15598, 23397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46785 and 46794. The biggest common factor number is the GCF number.
So the greatest common factor 46785 and 46794 is 3.

Also check out the Least Common Multiple of 46785 and 46794