What is the Greatest Common Factor of 25030 and 25035?

Greatest common factor (GCF) of 25030 and 25035 is 5.

GCF(25030,25035) = 5

We will now calculate the prime factors of 25030 and 25035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25030 and 25035.

How to find the GCF of 25030 and 25035?

We will first find the prime factorization of 25030 and 25035. After we will calculate the factors of 25030 and 25035 and find the biggest common factor number .

Step-1: Prime Factorization of 25030

Prime factors of 25030 are 2, 5, 2503. Prime factorization of 25030 in exponential form is:

25030 = 2¹ × 5¹ × 2503¹

Step-2: Prime Factorization of 25035

Prime factors of 25035 are 3, 5, 1669. Prime factorization of 25035 in exponential form is:

25035 = 3¹ × 5¹ × 1669¹

Step-3: Factors of 25030

List of positive integer factors of 25030 that divides 25030 without a remainder.

1, 2, 5, 10, 2503, 5006, 12515

Step-4: Factors of 25035

List of positive integer factors of 25035 that divides 25030 without a remainder.

1, 3, 5, 15, 1669, 5007, 8345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25030 and 25035. The biggest common factor number is the GCF number.
So the greatest common factor 25030 and 25035 is 5.

Also check out the Least Common Multiple of 25030 and 25035