What is the Greatest Common Factor of 4776 and 4788?

Greatest common factor (GCF) of 4776 and 4788 is 12.

GCF(4776,4788) = 12

We will now calculate the prime factors of 4776 and 4788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4776 and 4788.

How to find the GCF of 4776 and 4788?

We will first find the prime factorization of 4776 and 4788. After we will calculate the factors of 4776 and 4788 and find the biggest common factor number .

Step-1: Prime Factorization of 4776

Prime factors of 4776 are 2, 3, 199. Prime factorization of 4776 in exponential form is:

4776 = 2³ × 3¹ × 199¹

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 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388

Step-4: Factors of 4788

List of positive integer factors of 4788 that divides 4776 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 4776 and 4788. The biggest common factor number is the GCF number.
So the greatest common factor 4776 and 4788 is 12.

Also check out the Least Common Multiple of 4776 and 4788