What is the Greatest Common Factor of 25401 and 25407?

Greatest common factor (GCF) of 25401 and 25407 is 3.

GCF(25401,25407) = 3

We will now calculate the prime factors of 25401 and 25407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25401 and 25407.

How to find the GCF of 25401 and 25407?

We will first find the prime factorization of 25401 and 25407. After we will calculate the factors of 25401 and 25407 and find the biggest common factor number .

Step-1: Prime Factorization of 25401

Prime factors of 25401 are 3, 8467. Prime factorization of 25401 in exponential form is:

25401 = 3¹ × 8467¹

Step-2: Prime Factorization of 25407

Prime factors of 25407 are 3, 941. Prime factorization of 25407 in exponential form is:

25407 = 3³ × 941¹

Step-3: Factors of 25401

List of positive integer factors of 25401 that divides 25401 without a remainder.

1, 3, 8467

Step-4: Factors of 25407

List of positive integer factors of 25407 that divides 25401 without a remainder.

1, 3, 9, 27, 941, 2823, 8469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25401 and 25407. The biggest common factor number is the GCF number.
So the greatest common factor 25401 and 25407 is 3.

Also check out the Least Common Multiple of 25401 and 25407