What is the Greatest Common Factor of 10257 and 10270?

Greatest common factor (GCF) of 10257 and 10270 is 13.

GCF(10257,10270) = 13

We will now calculate the prime factors of 10257 and 10270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10257 and 10270.

How to find the GCF of 10257 and 10270?

We will first find the prime factorization of 10257 and 10270. After we will calculate the factors of 10257 and 10270 and find the biggest common factor number .

Step-1: Prime Factorization of 10257

Prime factors of 10257 are 3, 13, 263. Prime factorization of 10257 in exponential form is:

10257 = 3¹ × 13¹ × 263¹

Step-2: 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-3: Factors of 10257

List of positive integer factors of 10257 that divides 10257 without a remainder.

1, 3, 13, 39, 263, 789, 3419

Step-4: Factors of 10270

List of positive integer factors of 10270 that divides 10257 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10257 and 10270. The biggest common factor number is the GCF number.
So the greatest common factor 10257 and 10270 is 13.

Also check out the Least Common Multiple of 10257 and 10270