What is the Greatest Common Factor of 4700 and 4706?

Greatest common factor (GCF) of 4700 and 4706 is 2.

GCF(4700,4706) = 2

We will now calculate the prime factors of 4700 and 4706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4700 and 4706.

How to find the GCF of 4700 and 4706?

We will first find the prime factorization of 4700 and 4706. After we will calculate the factors of 4700 and 4706 and find the biggest common factor number .

Step-1: Prime Factorization of 4700

Prime factors of 4700 are 2, 5, 47. Prime factorization of 4700 in exponential form is:

4700 = 2² × 5² × 47¹

Step-2: Prime Factorization of 4706

Prime factors of 4706 are 2, 13, 181. Prime factorization of 4706 in exponential form is:

4706 = 2¹ × 13¹ × 181¹

Step-3: Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350

Step-4: Factors of 4706

List of positive integer factors of 4706 that divides 4700 without a remainder.

1, 2, 13, 26, 181, 362, 2353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4700 and 4706. The biggest common factor number is the GCF number.
So the greatest common factor 4700 and 4706 is 2.

Also check out the Least Common Multiple of 4700 and 4706