What is the Greatest Common Factor of 4774 and 4789?

Greatest common factor (GCF) of 4774 and 4789 is 1.

GCF(4774,4789) = 1

We will now calculate the prime factors of 4774 and 4789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4774 and 4789.

How to find the GCF of 4774 and 4789?

We will first find the prime factorization of 4774 and 4789. After we will calculate the factors of 4774 and 4789 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4789

Prime factors of 4789 are 4789. Prime factorization of 4789 in exponential form is:

4789 = 4789¹

Step-3: Factors of 4774

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

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

Step-4: Factors of 4789

List of positive integer factors of 4789 that divides 4774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4774 and 4789. The biggest common factor number is the GCF number.
So the greatest common factor 4774 and 4789 is 1.

Also check out the Least Common Multiple of 4774 and 4789