What is the Greatest Common Factor of 10280 and 10298?

Greatest common factor (GCF) of 10280 and 10298 is 2.

GCF(10280,10298) = 2

We will now calculate the prime factors of 10280 and 10298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10280 and 10298.

How to find the GCF of 10280 and 10298?

We will first find the prime factorization of 10280 and 10298. After we will calculate the factors of 10280 and 10298 and find the biggest common factor number .

Step-1: Prime Factorization of 10280

Prime factors of 10280 are 2, 5, 257. Prime factorization of 10280 in exponential form is:

10280 = 2³ × 5¹ × 257¹

Step-2: Prime Factorization of 10298

Prime factors of 10298 are 2, 19, 271. Prime factorization of 10298 in exponential form is:

10298 = 2¹ × 19¹ × 271¹

Step-3: Factors of 10280

List of positive integer factors of 10280 that divides 10280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 257, 514, 1028, 1285, 2056, 2570, 5140

Step-4: Factors of 10298

List of positive integer factors of 10298 that divides 10280 without a remainder.

1, 2, 19, 38, 271, 542, 5149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10280 and 10298. The biggest common factor number is the GCF number.
So the greatest common factor 10280 and 10298 is 2.

Also check out the Least Common Multiple of 10280 and 10298