What is the Greatest Common Factor of 4701 and 4705?

Greatest common factor (GCF) of 4701 and 4705 is 1.

GCF(4701,4705) = 1

We will now calculate the prime factors of 4701 and 4705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4701 and 4705.

How to find the GCF of 4701 and 4705?

We will first find the prime factorization of 4701 and 4705. After we will calculate the factors of 4701 and 4705 and find the biggest common factor number .

Step-1: Prime Factorization of 4701

Prime factors of 4701 are 3, 1567. Prime factorization of 4701 in exponential form is:

4701 = 3¹ × 1567¹

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 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1, 3, 1567

Step-4: Factors of 4705

List of positive integer factors of 4705 that divides 4701 without a remainder.

1, 5, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4701 and 4705. The biggest common factor number is the GCF number.
So the greatest common factor 4701 and 4705 is 1.

Also check out the Least Common Multiple of 4701 and 4705