What is the Greatest Common Factor of 4705 and 4723?

Greatest common factor (GCF) of 4705 and 4723 is 1.

GCF(4705,4723) = 1

We will now calculate the prime factors of 4705 and 4723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4705 and 4723.

How to find the GCF of 4705 and 4723?

We will first find the prime factorization of 4705 and 4723. After we will calculate the factors of 4705 and 4723 and find the biggest common factor number .

Step-1: Prime Factorization of 4705

Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:

4705 = 5¹ × 941¹

Step-2: Prime Factorization of 4723

Prime factors of 4723 are 4723. Prime factorization of 4723 in exponential form is:

4723 = 4723¹

Step-3: Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1, 5, 941

Step-4: Factors of 4723

List of positive integer factors of 4723 that divides 4705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4705 and 4723. The biggest common factor number is the GCF number.
So the greatest common factor 4705 and 4723 is 1.

Also check out the Least Common Multiple of 4705 and 4723