What is the Greatest Common Factor of 25503 and 25521?

Greatest common factor (GCF) of 25503 and 25521 is 3.

GCF(25503,25521) = 3

We will now calculate the prime factors of 25503 and 25521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25503 and 25521.

How to find the GCF of 25503 and 25521?

We will first find the prime factorization of 25503 and 25521. After we will calculate the factors of 25503 and 25521 and find the biggest common factor number .

Step-1: Prime Factorization of 25503

Prime factors of 25503 are 3, 8501. Prime factorization of 25503 in exponential form is:

25503 = 3¹ × 8501¹

Step-2: Prime Factorization of 25521

Prime factors of 25521 are 3, 47, 181. Prime factorization of 25521 in exponential form is:

25521 = 3¹ × 47¹ × 181¹

Step-3: Factors of 25503

List of positive integer factors of 25503 that divides 25503 without a remainder.

1, 3, 8501

Step-4: Factors of 25521

List of positive integer factors of 25521 that divides 25503 without a remainder.

1, 3, 47, 141, 181, 543, 8507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25503 and 25521. The biggest common factor number is the GCF number.
So the greatest common factor 25503 and 25521 is 3.

Also check out the Least Common Multiple of 25503 and 25521