What is the Greatest Common Factor of 1025 and 1030?

Greatest common factor (GCF) of 1025 and 1030 is 5.

GCF(1025,1030) = 5

We will now calculate the prime factors of 1025 and 1030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1025 and 1030.

How to find the GCF of 1025 and 1030?

We will first find the prime factorization of 1025 and 1030. After we will calculate the factors of 1025 and 1030 and find the biggest common factor number .

Step-1: Prime Factorization of 1025

Prime factors of 1025 are 5, 41. Prime factorization of 1025 in exponential form is:

1025 = 5² × 41¹

Step-2: Prime Factorization of 1030

Prime factors of 1030 are 2, 5, 103. Prime factorization of 1030 in exponential form is:

1030 = 2¹ × 5¹ × 103¹

Step-3: Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1, 5, 25, 41, 205

Step-4: Factors of 1030

List of positive integer factors of 1030 that divides 1025 without a remainder.

1, 2, 5, 10, 103, 206, 515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1025 and 1030. The biggest common factor number is the GCF number.
So the greatest common factor 1025 and 1030 is 5.

Also check out the Least Common Multiple of 1025 and 1030