What is the Greatest Common Factor of 4758 and 4774?

Greatest common factor (GCF) of 4758 and 4774 is 2.

GCF(4758,4774) = 2

We will now calculate the prime factors of 4758 and 4774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4758 and 4774.

How to find the GCF of 4758 and 4774?

We will first find the prime factorization of 4758 and 4774. After we will calculate the factors of 4758 and 4774 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 4774

Prime factors of 4774 are 2, 7, 11, 31. Prime factorization of 4774 in exponential form is:

4774 = 2¹ × 7¹ × 11¹ × 31¹

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 4774

List of positive integer factors of 4774 that divides 4758 without a remainder.

1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4758 and 4774. The biggest common factor number is the GCF number.
So the greatest common factor 4758 and 4774 is 2.

Also check out the Least Common Multiple of 4758 and 4774