What is the Greatest Common Factor of 4692 and 4709?

Greatest common factor (GCF) of 4692 and 4709 is 17.

GCF(4692,4709) = 17

We will now calculate the prime factors of 4692 and 4709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4692 and 4709.

How to find the GCF of 4692 and 4709?

We will first find the prime factorization of 4692 and 4709. After we will calculate the factors of 4692 and 4709 and find the biggest common factor number .

Step-1: Prime Factorization of 4692

Prime factors of 4692 are 2, 3, 17, 23. Prime factorization of 4692 in exponential form is:

4692 = 2² × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 4709

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

4709 = 17¹ × 277¹

Step-3: Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346

Step-4: Factors of 4709

List of positive integer factors of 4709 that divides 4692 without a remainder.

1, 17, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4692 and 4709. The biggest common factor number is the GCF number.
So the greatest common factor 4692 and 4709 is 17.

Also check out the Least Common Multiple of 4692 and 4709