What is the Greatest Common Factor of 25473 and 25487?

Greatest common factor (GCF) of 25473 and 25487 is 7.

GCF(25473,25487) = 7

We will now calculate the prime factors of 25473 and 25487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25473 and 25487.

How to find the GCF of 25473 and 25487?

We will first find the prime factorization of 25473 and 25487. After we will calculate the factors of 25473 and 25487 and find the biggest common factor number .

Step-1: Prime Factorization of 25473

Prime factors of 25473 are 3, 7, 1213. Prime factorization of 25473 in exponential form is:

25473 = 3¹ × 7¹ × 1213¹

Step-2: Prime Factorization of 25487

Prime factors of 25487 are 7, 11, 331. Prime factorization of 25487 in exponential form is:

25487 = 7¹ × 11¹ × 331¹

Step-3: Factors of 25473

List of positive integer factors of 25473 that divides 25473 without a remainder.

1, 3, 7, 21, 1213, 3639, 8491

Step-4: Factors of 25487

List of positive integer factors of 25487 that divides 25473 without a remainder.

1, 7, 11, 77, 331, 2317, 3641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25473 and 25487. The biggest common factor number is the GCF number.
So the greatest common factor 25473 and 25487 is 7.

Also check out the Least Common Multiple of 25473 and 25487