What is the Greatest Common Factor of 4734 and 4738?

Greatest common factor (GCF) of 4734 and 4738 is 2.

GCF(4734,4738) = 2

We will now calculate the prime factors of 4734 and 4738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4734 and 4738.

How to find the GCF of 4734 and 4738?

We will first find the prime factorization of 4734 and 4738. After we will calculate the factors of 4734 and 4738 and find the biggest common factor number .

Step-1: Prime Factorization of 4734

Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:

4734 = 2¹ × 3² × 263¹

Step-2: 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-3: Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367

Step-4: Factors of 4738

List of positive integer factors of 4738 that divides 4734 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4734 and 4738. The biggest common factor number is the GCF number.
So the greatest common factor 4734 and 4738 is 2.

Also check out the Least Common Multiple of 4734 and 4738