What is the Greatest Common Factor of 14763 and 14769?

Greatest common factor (GCF) of 14763 and 14769 is 3.

GCF(14763,14769) = 3

We will now calculate the prime factors of 14763 and 14769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14763 and 14769.

How to find the GCF of 14763 and 14769?

We will first find the prime factorization of 14763 and 14769. After we will calculate the factors of 14763 and 14769 and find the biggest common factor number .

Step-1: Prime Factorization of 14763

Prime factors of 14763 are 3, 7, 19, 37. Prime factorization of 14763 in exponential form is:

14763 = 3¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 14769

Prime factors of 14769 are 3, 547. Prime factorization of 14769 in exponential form is:

14769 = 3³ × 547¹

Step-3: Factors of 14763

List of positive integer factors of 14763 that divides 14763 without a remainder.

1, 3, 7, 19, 21, 37, 57, 111, 133, 259, 399, 703, 777, 2109, 4921

Step-4: Factors of 14769

List of positive integer factors of 14769 that divides 14763 without a remainder.

1, 3, 9, 27, 547, 1641, 4923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14763 and 14769. The biggest common factor number is the GCF number.
So the greatest common factor 14763 and 14769 is 3.

Also check out the Least Common Multiple of 14763 and 14769