What is the Greatest Common Factor of 4695 and 4705?

Greatest common factor (GCF) of 4695 and 4705 is 5.

GCF(4695,4705) = 5

We will now calculate the prime factors of 4695 and 4705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4695 and 4705.

How to find the GCF of 4695 and 4705?

We will first find the prime factorization of 4695 and 4705. After we will calculate the factors of 4695 and 4705 and find the biggest common factor number .

Step-1: Prime Factorization of 4695

Prime factors of 4695 are 3, 5, 313. Prime factorization of 4695 in exponential form is:

4695 = 3¹ × 5¹ × 313¹

Step-2: Prime Factorization of 4705

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

4705 = 5¹ × 941¹

Step-3: Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1, 3, 5, 15, 313, 939, 1565

Step-4: Factors of 4705

List of positive integer factors of 4705 that divides 4695 without a remainder.

1, 5, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4695 and 4705. The biggest common factor number is the GCF number.
So the greatest common factor 4695 and 4705 is 5.

Also check out the Least Common Multiple of 4695 and 4705