What is the Greatest Common Factor of 46738 and 46744?

Greatest common factor (GCF) of 46738 and 46744 is 2.

GCF(46738,46744) = 2

We will now calculate the prime factors of 46738 and 46744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46738 and 46744.

How to find the GCF of 46738 and 46744?

We will first find the prime factorization of 46738 and 46744. After we will calculate the factors of 46738 and 46744 and find the biggest common factor number .

Step-1: Prime Factorization of 46738

Prime factors of 46738 are 2, 23369. Prime factorization of 46738 in exponential form is:

46738 = 2¹ × 23369¹

Step-2: Prime Factorization of 46744

Prime factors of 46744 are 2, 5843. Prime factorization of 46744 in exponential form is:

46744 = 2³ × 5843¹

Step-3: Factors of 46738

List of positive integer factors of 46738 that divides 46738 without a remainder.

1, 2, 23369

Step-4: Factors of 46744

List of positive integer factors of 46744 that divides 46738 without a remainder.

1, 2, 4, 8, 5843, 11686, 23372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46738 and 46744. The biggest common factor number is the GCF number.
So the greatest common factor 46738 and 46744 is 2.

Also check out the Least Common Multiple of 46738 and 46744