What is the Greatest Common Factor of 23763 and 23769?

Greatest common factor (GCF) of 23763 and 23769 is 3.

GCF(23763,23769) = 3

We will now calculate the prime factors of 23763 and 23769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23763 and 23769.

How to find the GCF of 23763 and 23769?

We will first find the prime factorization of 23763 and 23769. After we will calculate the factors of 23763 and 23769 and find the biggest common factor number .

Step-1: Prime Factorization of 23763

Prime factors of 23763 are 3, 89. Prime factorization of 23763 in exponential form is:

23763 = 3¹ × 89²

Step-2: Prime Factorization of 23769

Prime factors of 23769 are 3, 19, 139. Prime factorization of 23769 in exponential form is:

23769 = 3² × 19¹ × 139¹

Step-3: Factors of 23763

List of positive integer factors of 23763 that divides 23763 without a remainder.

1, 3, 89, 267, 7921

Step-4: Factors of 23769

List of positive integer factors of 23769 that divides 23763 without a remainder.

1, 3, 9, 19, 57, 139, 171, 417, 1251, 2641, 7923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23763 and 23769. The biggest common factor number is the GCF number.
So the greatest common factor 23763 and 23769 is 3.

Also check out the Least Common Multiple of 23763 and 23769