What is the Greatest Common Factor of 46740 and 46754?

Greatest common factor (GCF) of 46740 and 46754 is 2.

GCF(46740,46754) = 2

We will now calculate the prime factors of 46740 and 46754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46740 and 46754.

How to find the GCF of 46740 and 46754?

We will first find the prime factorization of 46740 and 46754. After we will calculate the factors of 46740 and 46754 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 46754

Prime factors of 46754 are 2, 97, 241. Prime factorization of 46754 in exponential form is:

46754 = 2¹ × 97¹ × 241¹

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 46754

List of positive integer factors of 46754 that divides 46740 without a remainder.

1, 2, 97, 194, 241, 482, 23377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46740 and 46754. The biggest common factor number is the GCF number.
So the greatest common factor 46740 and 46754 is 2.

Also check out the Least Common Multiple of 46740 and 46754