What is the Greatest Common Factor of 4705 and 4725?

Greatest common factor (GCF) of 4705 and 4725 is 5.

GCF(4705,4725) = 5

We will now calculate the prime factors of 4705 and 4725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4705 and 4725.

How to find the GCF of 4705 and 4725?

We will first find the prime factorization of 4705 and 4725. After we will calculate the factors of 4705 and 4725 and find the biggest common factor number .

Step-1: Prime Factorization of 4705

Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:

4705 = 5¹ × 941¹

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 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1, 5, 941

Step-4: Factors of 4725

List of positive integer factors of 4725 that divides 4705 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 4705 and 4725. The biggest common factor number is the GCF number.
So the greatest common factor 4705 and 4725 is 5.

Also check out the Least Common Multiple of 4705 and 4725