What is the Greatest Common Factor of 25074 and 25089?

Greatest common factor (GCF) of 25074 and 25089 is 3.

GCF(25074,25089) = 3

We will now calculate the prime factors of 25074 and 25089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25074 and 25089.

How to find the GCF of 25074 and 25089?

We will first find the prime factorization of 25074 and 25089. After we will calculate the factors of 25074 and 25089 and find the biggest common factor number .

Step-1: Prime Factorization of 25074

Prime factors of 25074 are 2, 3, 7, 199. Prime factorization of 25074 in exponential form is:

25074 = 2¹ × 3² × 7¹ × 199¹

Step-2: Prime Factorization of 25089

Prime factors of 25089 are 3, 8363. Prime factorization of 25089 in exponential form is:

25089 = 3¹ × 8363¹

Step-3: Factors of 25074

List of positive integer factors of 25074 that divides 25074 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 8358, 12537

Step-4: Factors of 25089

List of positive integer factors of 25089 that divides 25074 without a remainder.

1, 3, 8363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25074 and 25089. The biggest common factor number is the GCF number.
So the greatest common factor 25074 and 25089 is 3.

Also check out the Least Common Multiple of 25074 and 25089