What is the Greatest Common Factor of 4738 and 4756?

Greatest common factor (GCF) of 4738 and 4756 is 2.

GCF(4738,4756) = 2

We will now calculate the prime factors of 4738 and 4756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4738 and 4756.

How to find the GCF of 4738 and 4756?

We will first find the prime factorization of 4738 and 4756. After we will calculate the factors of 4738 and 4756 and find the biggest common factor number .

Step-1: Prime Factorization of 4738

Prime factors of 4738 are 2, 23, 103. Prime factorization of 4738 in exponential form is:

4738 = 2¹ × 23¹ × 103¹

Step-2: Prime Factorization of 4756

Prime factors of 4756 are 2, 29, 41. Prime factorization of 4756 in exponential form is:

4756 = 2² × 29¹ × 41¹

Step-3: Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1, 2, 23, 46, 103, 206, 2369

Step-4: Factors of 4756

List of positive integer factors of 4756 that divides 4738 without a remainder.

1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4738 and 4756. The biggest common factor number is the GCF number.
So the greatest common factor 4738 and 4756 is 2.

Also check out the Least Common Multiple of 4738 and 4756