What is the Greatest Common Factor of 10270 and 10288?

Greatest common factor (GCF) of 10270 and 10288 is 2.

GCF(10270,10288) = 2

We will now calculate the prime factors of 10270 and 10288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10270 and 10288.

How to find the GCF of 10270 and 10288?

We will first find the prime factorization of 10270 and 10288. After we will calculate the factors of 10270 and 10288 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 10288

Prime factors of 10288 are 2, 643. Prime factorization of 10288 in exponential form is:

10288 = 2⁴ × 643¹

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 10288

List of positive integer factors of 10288 that divides 10270 without a remainder.

1, 2, 4, 8, 16, 643, 1286, 2572, 5144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10270 and 10288. The biggest common factor number is the GCF number.
So the greatest common factor 10270 and 10288 is 2.

Also check out the Least Common Multiple of 10270 and 10288