What is the Greatest Common Factor of 66025 and 66030?

Greatest common factor (GCF) of 66025 and 66030 is 5.

GCF(66025,66030) = 5

We will now calculate the prime factors of 66025 and 66030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66025 and 66030.

How to find the GCF of 66025 and 66030?

We will first find the prime factorization of 66025 and 66030. After we will calculate the factors of 66025 and 66030 and find the biggest common factor number .

Step-1: Prime Factorization of 66025

Prime factors of 66025 are 5, 19, 139. Prime factorization of 66025 in exponential form is:

66025 = 5² × 19¹ × 139¹

Step-2: Prime Factorization of 66030

Prime factors of 66030 are 2, 3, 5, 31, 71. Prime factorization of 66030 in exponential form is:

66030 = 2¹ × 3¹ × 5¹ × 31¹ × 71¹

Step-3: Factors of 66025

List of positive integer factors of 66025 that divides 66025 without a remainder.

1, 5, 19, 25, 95, 139, 475, 695, 2641, 3475, 13205

Step-4: Factors of 66030

List of positive integer factors of 66030 that divides 66025 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 71, 93, 142, 155, 186, 213, 310, 355, 426, 465, 710, 930, 1065, 2130, 2201, 4402, 6603, 11005, 13206, 22010, 33015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66025 and 66030. The biggest common factor number is the GCF number.
So the greatest common factor 66025 and 66030 is 5.

Also check out the Least Common Multiple of 66025 and 66030