What is the Greatest Common Factor of 4738 and 4752?

Greatest common factor (GCF) of 4738 and 4752 is 2.

GCF(4738,4752) = 2

We will now calculate the prime factors of 4738 and 4752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4738 and 4752.

How to find the GCF of 4738 and 4752?

We will first find the prime factorization of 4738 and 4752. After we will calculate the factors of 4738 and 4752 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 4752

Prime factors of 4752 are 2, 3, 11. Prime factorization of 4752 in exponential form is:

4752 = 2⁴ × 3³ × 11¹

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 4752

List of positive integer factors of 4752 that divides 4738 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4738 and 4752. The biggest common factor number is the GCF number.
So the greatest common factor 4738 and 4752 is 2.

Also check out the Least Common Multiple of 4738 and 4752