What is the Greatest Common Factor of 4709 and 4722?

Greatest common factor (GCF) of 4709 and 4722 is 1.

GCF(4709,4722) = 1

We will now calculate the prime factors of 4709 and 4722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4709 and 4722.

How to find the GCF of 4709 and 4722?

We will first find the prime factorization of 4709 and 4722. After we will calculate the factors of 4709 and 4722 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 4722

Prime factors of 4722 are 2, 3, 787. Prime factorization of 4722 in exponential form is:

4722 = 2¹ × 3¹ × 787¹

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 4722

List of positive integer factors of 4722 that divides 4709 without a remainder.

1, 2, 3, 6, 787, 1574, 2361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4709 and 4722. The biggest common factor number is the GCF number.
So the greatest common factor 4709 and 4722 is 1.

Also check out the Least Common Multiple of 4709 and 4722