What is the Greatest Common Factor of 4709 and 4727?

Greatest common factor (GCF) of 4709 and 4727 is 1.

GCF(4709,4727) = 1

We will now calculate the prime factors of 4709 and 4727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4709 and 4727.

How to find the GCF of 4709 and 4727?

We will first find the prime factorization of 4709 and 4727. After we will calculate the factors of 4709 and 4727 and find the biggest common factor number .

Step-1: Prime Factorization of 4709

Prime factors of 4709 are 17, 277. Prime factorization of 4709 in exponential form is:

4709 = 17¹ × 277¹

Step-2: Prime Factorization of 4727

Prime factors of 4727 are 29, 163. Prime factorization of 4727 in exponential form is:

4727 = 29¹ × 163¹

Step-3: Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1, 17, 277

Step-4: Factors of 4727

List of positive integer factors of 4727 that divides 4709 without a remainder.

1, 29, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4709 and 4727. The biggest common factor number is the GCF number.
So the greatest common factor 4709 and 4727 is 1.

Also check out the Least Common Multiple of 4709 and 4727