What is the Greatest Common Factor of 4758 and 4768?

Greatest common factor (GCF) of 4758 and 4768 is 2.

GCF(4758,4768) = 2

We will now calculate the prime factors of 4758 and 4768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4758 and 4768.

How to find the GCF of 4758 and 4768?

We will first find the prime factorization of 4758 and 4768. After we will calculate the factors of 4758 and 4768 and find the biggest common factor number .

Step-1: Prime Factorization of 4758

Prime factors of 4758 are 2, 3, 13, 61. Prime factorization of 4758 in exponential form is:

4758 = 2¹ × 3¹ × 13¹ × 61¹

Step-2: Prime Factorization of 4768

Prime factors of 4768 are 2, 149. Prime factorization of 4768 in exponential form is:

4768 = 2⁵ × 149¹

Step-3: Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379

Step-4: Factors of 4768

List of positive integer factors of 4768 that divides 4758 without a remainder.

1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4758 and 4768. The biggest common factor number is the GCF number.
So the greatest common factor 4758 and 4768 is 2.

Also check out the Least Common Multiple of 4758 and 4768