What is the Greatest Common Factor of 6025 and 6030?

Greatest common factor (GCF) of 6025 and 6030 is 5.

GCF(6025,6030) = 5

We will now calculate the prime factors of 6025 and 6030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6025 and 6030.

How to find the GCF of 6025 and 6030?

We will first find the prime factorization of 6025 and 6030. After we will calculate the factors of 6025 and 6030 and find the biggest common factor number .

Step-1: Prime Factorization of 6025

Prime factors of 6025 are 5, 241. Prime factorization of 6025 in exponential form is:

6025 = 5² × 241¹

Step-2: Prime Factorization of 6030

Prime factors of 6030 are 2, 3, 5, 67. Prime factorization of 6030 in exponential form is:

6030 = 2¹ × 3² × 5¹ × 67¹

Step-3: Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1, 5, 25, 241, 1205

Step-4: Factors of 6030

List of positive integer factors of 6030 that divides 6025 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6025 and 6030. The biggest common factor number is the GCF number.
So the greatest common factor 6025 and 6030 is 5.

Also check out the Least Common Multiple of 6025 and 6030