What is the Greatest Common Factor of 46740 and 46759?

Greatest common factor (GCF) of 46740 and 46759 is 19.

GCF(46740,46759) = 19

We will now calculate the prime factors of 46740 and 46759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46740 and 46759.

How to find the GCF of 46740 and 46759?

We will first find the prime factorization of 46740 and 46759. After we will calculate the factors of 46740 and 46759 and find the biggest common factor number .

Step-1: Prime Factorization of 46740

Prime factors of 46740 are 2, 3, 5, 19, 41. Prime factorization of 46740 in exponential form is:

46740 = 2² × 3¹ × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 46759

Prime factors of 46759 are 19, 23, 107. Prime factorization of 46759 in exponential form is:

46759 = 19¹ × 23¹ × 107¹

Step-3: Factors of 46740

List of positive integer factors of 46740 that divides 46740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 41, 57, 60, 76, 82, 95, 114, 123, 164, 190, 205, 228, 246, 285, 380, 410, 492, 570, 615, 779, 820, 1140, 1230, 1558, 2337, 2460, 3116, 3895, 4674, 7790, 9348, 11685, 15580, 23370

Step-4: Factors of 46759

List of positive integer factors of 46759 that divides 46740 without a remainder.

1, 19, 23, 107, 437, 2033, 2461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46740 and 46759. The biggest common factor number is the GCF number.
So the greatest common factor 46740 and 46759 is 19.

Also check out the Least Common Multiple of 46740 and 46759