What is the Greatest Common Factor of 10075 and 10088?

Greatest common factor (GCF) of 10075 and 10088 is 13.

GCF(10075,10088) = 13

We will now calculate the prime factors of 10075 and 10088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10075 and 10088.

How to find the GCF of 10075 and 10088?

We will first find the prime factorization of 10075 and 10088. After we will calculate the factors of 10075 and 10088 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10088

Prime factors of 10088 are 2, 13, 97. Prime factorization of 10088 in exponential form is:

10088 = 2³ × 13¹ × 97¹

Step-3: Factors of 10075

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

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

Step-4: Factors of 10088

List of positive integer factors of 10088 that divides 10075 without a remainder.

1, 2, 4, 8, 13, 26, 52, 97, 104, 194, 388, 776, 1261, 2522, 5044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10075 and 10088. The biggest common factor number is the GCF number.
So the greatest common factor 10075 and 10088 is 13.

Also check out the Least Common Multiple of 10075 and 10088