What is the Greatest Common Factor of 63774 and 63789?

Greatest common factor (GCF) of 63774 and 63789 is 3.

GCF(63774,63789) = 3

We will now calculate the prime factors of 63774 and 63789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63774 and 63789.

How to find the GCF of 63774 and 63789?

We will first find the prime factorization of 63774 and 63789. After we will calculate the factors of 63774 and 63789 and find the biggest common factor number .

Step-1: Prime Factorization of 63774

Prime factors of 63774 are 2, 3, 1181. Prime factorization of 63774 in exponential form is:

63774 = 2¹ × 3³ × 1181¹

Step-2: Prime Factorization of 63789

Prime factors of 63789 are 3, 11, 1933. Prime factorization of 63789 in exponential form is:

63789 = 3¹ × 11¹ × 1933¹

Step-3: Factors of 63774

List of positive integer factors of 63774 that divides 63774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1181, 2362, 3543, 7086, 10629, 21258, 31887

Step-4: Factors of 63789

List of positive integer factors of 63789 that divides 63774 without a remainder.

1, 3, 11, 33, 1933, 5799, 21263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63774 and 63789. The biggest common factor number is the GCF number.
So the greatest common factor 63774 and 63789 is 3.

Also check out the Least Common Multiple of 63774 and 63789