What is the Greatest Common Factor of 25362 and 25377?

Greatest common factor (GCF) of 25362 and 25377 is 3.

GCF(25362,25377) = 3

We will now calculate the prime factors of 25362 and 25377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25362 and 25377.

How to find the GCF of 25362 and 25377?

We will first find the prime factorization of 25362 and 25377. After we will calculate the factors of 25362 and 25377 and find the biggest common factor number .

Step-1: Prime Factorization of 25362

Prime factors of 25362 are 2, 3, 1409. Prime factorization of 25362 in exponential form is:

25362 = 2¹ × 3² × 1409¹

Step-2: 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-3: Factors of 25362

List of positive integer factors of 25362 that divides 25362 without a remainder.

1, 2, 3, 6, 9, 18, 1409, 2818, 4227, 8454, 12681

Step-4: Factors of 25377

List of positive integer factors of 25377 that divides 25362 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25362 and 25377. The biggest common factor number is the GCF number.
So the greatest common factor 25362 and 25377 is 3.

Also check out the Least Common Multiple of 25362 and 25377