What is the Greatest Common Factor of 60270 and 60275?

Greatest common factor (GCF) of 60270 and 60275 is 5.

GCF(60270,60275) = 5

We will now calculate the prime factors of 60270 and 60275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60270 and 60275.

How to find the GCF of 60270 and 60275?

We will first find the prime factorization of 60270 and 60275. After we will calculate the factors of 60270 and 60275 and find the biggest common factor number .

Step-1: Prime Factorization of 60270

Prime factors of 60270 are 2, 3, 5, 7, 41. Prime factorization of 60270 in exponential form is:

60270 = 2¹ × 3¹ × 5¹ × 7² × 41¹

Step-2: Prime Factorization of 60275

Prime factors of 60275 are 5, 2411. Prime factorization of 60275 in exponential form is:

60275 = 5² × 2411¹

Step-3: Factors of 60270

List of positive integer factors of 60270 that divides 60270 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 49, 70, 82, 98, 105, 123, 147, 205, 210, 245, 246, 287, 294, 410, 490, 574, 615, 735, 861, 1230, 1435, 1470, 1722, 2009, 2870, 4018, 4305, 6027, 8610, 10045, 12054, 20090, 30135

Step-4: Factors of 60275

List of positive integer factors of 60275 that divides 60270 without a remainder.

1, 5, 25, 2411, 12055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60270 and 60275. The biggest common factor number is the GCF number.
So the greatest common factor 60270 and 60275 is 5.

Also check out the Least Common Multiple of 60270 and 60275