What is the Greatest Common Factor of 25510 and 25530?

Greatest common factor (GCF) of 25510 and 25530 is 10.

GCF(25510,25530) = 10

We will now calculate the prime factors of 25510 and 25530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25510 and 25530.

How to find the GCF of 25510 and 25530?

We will first find the prime factorization of 25510 and 25530. After we will calculate the factors of 25510 and 25530 and find the biggest common factor number .

Step-1: Prime Factorization of 25510

Prime factors of 25510 are 2, 5, 2551. Prime factorization of 25510 in exponential form is:

25510 = 2¹ × 5¹ × 2551¹

Step-2: Prime Factorization of 25530

Prime factors of 25530 are 2, 3, 5, 23, 37. Prime factorization of 25530 in exponential form is:

25530 = 2¹ × 3¹ × 5¹ × 23¹ × 37¹

Step-3: Factors of 25510

List of positive integer factors of 25510 that divides 25510 without a remainder.

1, 2, 5, 10, 2551, 5102, 12755

Step-4: Factors of 25530

List of positive integer factors of 25530 that divides 25510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 37, 46, 69, 74, 111, 115, 138, 185, 222, 230, 345, 370, 555, 690, 851, 1110, 1702, 2553, 4255, 5106, 8510, 12765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25510 and 25530. The biggest common factor number is the GCF number.
So the greatest common factor 25510 and 25530 is 10.

Also check out the Least Common Multiple of 25510 and 25530