What is the Greatest Common Factor of 13965 and 13969?

Greatest common factor (GCF) of 13965 and 13969 is 1.

GCF(13965,13969) = 1

We will now calculate the prime factors of 13965 and 13969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13965 and 13969.

How to find the GCF of 13965 and 13969?

We will first find the prime factorization of 13965 and 13969. After we will calculate the factors of 13965 and 13969 and find the biggest common factor number .

Step-1: Prime Factorization of 13965

Prime factors of 13965 are 3, 5, 7, 19. Prime factorization of 13965 in exponential form is:

13965 = 3¹ × 5¹ × 7² × 19¹

Step-2: Prime Factorization of 13969

Prime factors of 13969 are 61, 229. Prime factorization of 13969 in exponential form is:

13969 = 61¹ × 229¹

Step-3: Factors of 13965

List of positive integer factors of 13965 that divides 13965 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 399, 665, 735, 931, 1995, 2793, 4655

Step-4: Factors of 13969

List of positive integer factors of 13969 that divides 13965 without a remainder.

1, 61, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13965 and 13969. The biggest common factor number is the GCF number.
So the greatest common factor 13965 and 13969 is 1.

Also check out the Least Common Multiple of 13965 and 13969