What is the Greatest Common Factor of 46743 and 46758?

Greatest common factor (GCF) of 46743 and 46758 is 3.

GCF(46743,46758) = 3

We will now calculate the prime factors of 46743 and 46758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46743 and 46758.

How to find the GCF of 46743 and 46758?

We will first find the prime factorization of 46743 and 46758. After we will calculate the factors of 46743 and 46758 and find the biggest common factor number .

Step-1: Prime Factorization of 46743

Prime factors of 46743 are 3, 15581. Prime factorization of 46743 in exponential form is:

46743 = 3¹ × 15581¹

Step-2: Prime Factorization of 46758

Prime factors of 46758 are 2, 3, 7793. Prime factorization of 46758 in exponential form is:

46758 = 2¹ × 3¹ × 7793¹

Step-3: Factors of 46743

List of positive integer factors of 46743 that divides 46743 without a remainder.

1, 3, 15581

Step-4: Factors of 46758

List of positive integer factors of 46758 that divides 46743 without a remainder.

1, 2, 3, 6, 7793, 15586, 23379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46743 and 46758. The biggest common factor number is the GCF number.
So the greatest common factor 46743 and 46758 is 3.

Also check out the Least Common Multiple of 46743 and 46758