What is the Greatest Common Factor of 4774 and 4788?

Greatest common factor (GCF) of 4774 and 4788 is 14.

GCF(4774,4788) = 14

We will now calculate the prime factors of 4774 and 4788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4774 and 4788.

How to find the GCF of 4774 and 4788?

We will first find the prime factorization of 4774 and 4788. After we will calculate the factors of 4774 and 4788 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 4788

Prime factors of 4788 are 2, 3, 7, 19. Prime factorization of 4788 in exponential form is:

4788 = 2² × 3² × 7¹ × 19¹

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 4788

List of positive integer factors of 4788 that divides 4774 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4774 and 4788. The biggest common factor number is the GCF number.
So the greatest common factor 4774 and 4788 is 14.

Also check out the Least Common Multiple of 4774 and 4788