What is the Greatest Common Factor of 25485 and 25495?

Greatest common factor (GCF) of 25485 and 25495 is 5.

GCF(25485,25495) = 5

We will now calculate the prime factors of 25485 and 25495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25485 and 25495.

How to find the GCF of 25485 and 25495?

We will first find the prime factorization of 25485 and 25495. After we will calculate the factors of 25485 and 25495 and find the biggest common factor number .

Step-1: Prime Factorization of 25485

Prime factors of 25485 are 3, 5, 1699. Prime factorization of 25485 in exponential form is:

25485 = 3¹ × 5¹ × 1699¹

Step-2: Prime Factorization of 25495

Prime factors of 25495 are 5, 5099. Prime factorization of 25495 in exponential form is:

25495 = 5¹ × 5099¹

Step-3: Factors of 25485

List of positive integer factors of 25485 that divides 25485 without a remainder.

1, 3, 5, 15, 1699, 5097, 8495

Step-4: Factors of 25495

List of positive integer factors of 25495 that divides 25485 without a remainder.

1, 5, 5099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25485 and 25495. The biggest common factor number is the GCF number.
So the greatest common factor 25485 and 25495 is 5.

Also check out the Least Common Multiple of 25485 and 25495