What is the Greatest Common Factor of 23969 and 23978?

Greatest common factor (GCF) of 23969 and 23978 is 1.

GCF(23969,23978) = 1

We will now calculate the prime factors of 23969 and 23978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23969 and 23978.

How to find the GCF of 23969 and 23978?

We will first find the prime factorization of 23969 and 23978. After we will calculate the factors of 23969 and 23978 and find the biggest common factor number .

Step-1: Prime Factorization of 23969

Prime factors of 23969 are 11, 2179. Prime factorization of 23969 in exponential form is:

23969 = 11¹ × 2179¹

Step-2: Prime Factorization of 23978

Prime factors of 23978 are 2, 19, 631. Prime factorization of 23978 in exponential form is:

23978 = 2¹ × 19¹ × 631¹

Step-3: Factors of 23969

List of positive integer factors of 23969 that divides 23969 without a remainder.

1, 11, 2179

Step-4: Factors of 23978

List of positive integer factors of 23978 that divides 23969 without a remainder.

1, 2, 19, 38, 631, 1262, 11989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23969 and 23978. The biggest common factor number is the GCF number.
So the greatest common factor 23969 and 23978 is 1.

Also check out the Least Common Multiple of 23969 and 23978