What is the Greatest Common Factor of 4709 and 4725?

Greatest common factor (GCF) of 4709 and 4725 is 1.

GCF(4709,4725) = 1

We will now calculate the prime factors of 4709 and 4725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4709 and 4725.

How to find the GCF of 4709 and 4725?

We will first find the prime factorization of 4709 and 4725. After we will calculate the factors of 4709 and 4725 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 4725

Prime factors of 4725 are 3, 5, 7. Prime factorization of 4725 in exponential form is:

4725 = 3³ × 5² × 7¹

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 4725

List of positive integer factors of 4725 that divides 4709 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4709 and 4725. The biggest common factor number is the GCF number.
So the greatest common factor 4709 and 4725 is 1.

Also check out the Least Common Multiple of 4709 and 4725