What is the Greatest Common Factor of 4709 and 4716?

Greatest common factor (GCF) of 4709 and 4716 is 1.

GCF(4709,4716) = 1

We will now calculate the prime factors of 4709 and 4716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4709 and 4716.

How to find the GCF of 4709 and 4716?

We will first find the prime factorization of 4709 and 4716. After we will calculate the factors of 4709 and 4716 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 4716

Prime factors of 4716 are 2, 3, 131. Prime factorization of 4716 in exponential form is:

4716 = 2² × 3² × 131¹

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 4716

List of positive integer factors of 4716 that divides 4709 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4709 and 4716. The biggest common factor number is the GCF number.
So the greatest common factor 4709 and 4716 is 1.

Also check out the Least Common Multiple of 4709 and 4716