What is the Greatest Common Factor of 47769 and 47778?

Greatest common factor (GCF) of 47769 and 47778 is 3.

GCF(47769,47778) = 3

We will now calculate the prime factors of 47769 and 47778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47769 and 47778.

How to find the GCF of 47769 and 47778?

We will first find the prime factorization of 47769 and 47778. After we will calculate the factors of 47769 and 47778 and find the biggest common factor number .

Step-1: Prime Factorization of 47769

Prime factors of 47769 are 3, 15923. Prime factorization of 47769 in exponential form is:

47769 = 3¹ × 15923¹

Step-2: Prime Factorization of 47778

Prime factors of 47778 are 2, 3, 7963. Prime factorization of 47778 in exponential form is:

47778 = 2¹ × 3¹ × 7963¹

Step-3: Factors of 47769

List of positive integer factors of 47769 that divides 47769 without a remainder.

1, 3, 15923

Step-4: Factors of 47778

List of positive integer factors of 47778 that divides 47769 without a remainder.

1, 2, 3, 6, 7963, 15926, 23889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47769 and 47778. The biggest common factor number is the GCF number.
So the greatest common factor 47769 and 47778 is 3.

Also check out the Least Common Multiple of 47769 and 47778