What is the Greatest Common Factor of 3010 and 3025?

Greatest common factor (GCF) of 3010 and 3025 is 5.

GCF(3010,3025) = 5

We will now calculate the prime factors of 3010 and 3025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3010 and 3025.

How to find the GCF of 3010 and 3025?

We will first find the prime factorization of 3010 and 3025. After we will calculate the factors of 3010 and 3025 and find the biggest common factor number .

Step-1: Prime Factorization of 3010

Prime factors of 3010 are 2, 5, 7, 43. Prime factorization of 3010 in exponential form is:

3010 = 2¹ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 3025

Prime factors of 3025 are 5, 11. Prime factorization of 3025 in exponential form is:

3025 = 5² × 11²

Step-3: Factors of 3010

List of positive integer factors of 3010 that divides 3010 without a remainder.

1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505

Step-4: Factors of 3025

List of positive integer factors of 3025 that divides 3010 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3010 and 3025. The biggest common factor number is the GCF number.
So the greatest common factor 3010 and 3025 is 5.

Also check out the Least Common Multiple of 3010 and 3025