What is the Greatest Common Factor of 46911 and 46930?

Greatest common factor (GCF) of 46911 and 46930 is 19.

GCF(46911,46930) = 19

We will now calculate the prime factors of 46911 and 46930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46911 and 46930.

How to find the GCF of 46911 and 46930?

We will first find the prime factorization of 46911 and 46930. After we will calculate the factors of 46911 and 46930 and find the biggest common factor number .

Step-1: Prime Factorization of 46911

Prime factors of 46911 are 3, 19, 823. Prime factorization of 46911 in exponential form is:

46911 = 3¹ × 19¹ × 823¹

Step-2: Prime Factorization of 46930

Prime factors of 46930 are 2, 5, 13, 19. Prime factorization of 46930 in exponential form is:

46930 = 2¹ × 5¹ × 13¹ × 19²

Step-3: Factors of 46911

List of positive integer factors of 46911 that divides 46911 without a remainder.

1, 3, 19, 57, 823, 2469, 15637

Step-4: Factors of 46930

List of positive integer factors of 46930 that divides 46911 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 361, 494, 722, 1235, 1805, 2470, 3610, 4693, 9386, 23465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46911 and 46930. The biggest common factor number is the GCF number.
So the greatest common factor 46911 and 46930 is 19.

Also check out the Least Common Multiple of 46911 and 46930