What is the Greatest Common Factor of 10270 and 10275?

Greatest common factor (GCF) of 10270 and 10275 is 5.

GCF(10270,10275) = 5

We will now calculate the prime factors of 10270 and 10275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10270 and 10275.

How to find the GCF of 10270 and 10275?

We will first find the prime factorization of 10270 and 10275. After we will calculate the factors of 10270 and 10275 and find the biggest common factor number .

Step-1: Prime Factorization of 10270

Prime factors of 10270 are 2, 5, 13, 79. Prime factorization of 10270 in exponential form is:

10270 = 2¹ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 10275

Prime factors of 10275 are 3, 5, 137. Prime factorization of 10275 in exponential form is:

10275 = 3¹ × 5² × 137¹

Step-3: Factors of 10270

List of positive integer factors of 10270 that divides 10270 without a remainder.

1, 2, 5, 10, 13, 26, 65, 79, 130, 158, 395, 790, 1027, 2054, 5135

Step-4: Factors of 10275

List of positive integer factors of 10275 that divides 10270 without a remainder.

1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10270 and 10275. The biggest common factor number is the GCF number.
So the greatest common factor 10270 and 10275 is 5.

Also check out the Least Common Multiple of 10270 and 10275