What is the Greatest Common Factor of 46701 and 46713?

Greatest common factor (GCF) of 46701 and 46713 is 3.

GCF(46701,46713) = 3

We will now calculate the prime factors of 46701 and 46713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46701 and 46713.

How to find the GCF of 46701 and 46713?

We will first find the prime factorization of 46701 and 46713. After we will calculate the factors of 46701 and 46713 and find the biggest common factor number .

Step-1: Prime Factorization of 46701

Prime factors of 46701 are 3, 5189. Prime factorization of 46701 in exponential form is:

46701 = 3² × 5189¹

Step-2: Prime Factorization of 46713

Prime factors of 46713 are 3, 23, 677. Prime factorization of 46713 in exponential form is:

46713 = 3¹ × 23¹ × 677¹

Step-3: Factors of 46701

List of positive integer factors of 46701 that divides 46701 without a remainder.

1, 3, 9, 5189, 15567

Step-4: Factors of 46713

List of positive integer factors of 46713 that divides 46701 without a remainder.

1, 3, 23, 69, 677, 2031, 15571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46701 and 46713. The biggest common factor number is the GCF number.
So the greatest common factor 46701 and 46713 is 3.

Also check out the Least Common Multiple of 46701 and 46713