What is the Greatest Common Factor of 25377 and 25383?

Greatest common factor (GCF) of 25377 and 25383 is 3.

GCF(25377,25383) = 3

We will now calculate the prime factors of 25377 and 25383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25377 and 25383.

How to find the GCF of 25377 and 25383?

We will first find the prime factorization of 25377 and 25383. After we will calculate the factors of 25377 and 25383 and find the biggest common factor number .

Step-1: Prime Factorization of 25377

Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:

25377 = 3¹ × 11¹ × 769¹

Step-2: Prime Factorization of 25383

Prime factors of 25383 are 3, 8461. Prime factorization of 25383 in exponential form is:

25383 = 3¹ × 8461¹

Step-3: Factors of 25377

List of positive integer factors of 25377 that divides 25377 without a remainder.

1, 3, 11, 33, 769, 2307, 8459

Step-4: Factors of 25383

List of positive integer factors of 25383 that divides 25377 without a remainder.

1, 3, 8461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25377 and 25383. The biggest common factor number is the GCF number.
So the greatest common factor 25377 and 25383 is 3.

Also check out the Least Common Multiple of 25377 and 25383