What is the Greatest Common Factor of 4758 and 4764?

Greatest common factor (GCF) of 4758 and 4764 is 6.

GCF(4758,4764) = 6

We will now calculate the prime factors of 4758 and 4764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4758 and 4764.

How to find the GCF of 4758 and 4764?

We will first find the prime factorization of 4758 and 4764. After we will calculate the factors of 4758 and 4764 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 4764

Prime factors of 4764 are 2, 3, 397. Prime factorization of 4764 in exponential form is:

4764 = 2² × 3¹ × 397¹

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 4764

List of positive integer factors of 4764 that divides 4758 without a remainder.

1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4758 and 4764. The biggest common factor number is the GCF number.
So the greatest common factor 4758 and 4764 is 6.

Also check out the Least Common Multiple of 4758 and 4764