What is the Greatest Common Factor of 10065 and 10075?

Greatest common factor (GCF) of 10065 and 10075 is 5.

GCF(10065,10075) = 5

We will now calculate the prime factors of 10065 and 10075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10065 and 10075.

How to find the GCF of 10065 and 10075?

We will first find the prime factorization of 10065 and 10075. After we will calculate the factors of 10065 and 10075 and find the biggest common factor number .

Step-1: Prime Factorization of 10065

Prime factors of 10065 are 3, 5, 11, 61. Prime factorization of 10065 in exponential form is:

10065 = 3¹ × 5¹ × 11¹ × 61¹

Step-2: Prime Factorization of 10075

Prime factors of 10075 are 5, 13, 31. Prime factorization of 10075 in exponential form is:

10075 = 5² × 13¹ × 31¹

Step-3: Factors of 10065

List of positive integer factors of 10065 that divides 10065 without a remainder.

1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355

Step-4: Factors of 10075

List of positive integer factors of 10075 that divides 10065 without a remainder.

1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10065 and 10075. The biggest common factor number is the GCF number.
So the greatest common factor 10065 and 10075 is 5.

Also check out the Least Common Multiple of 10065 and 10075