What is the Greatest Common Factor of 10280 and 10295?

Greatest common factor (GCF) of 10280 and 10295 is 5.

GCF(10280,10295) = 5

We will now calculate the prime factors of 10280 and 10295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10280 and 10295.

How to find the GCF of 10280 and 10295?

We will first find the prime factorization of 10280 and 10295. After we will calculate the factors of 10280 and 10295 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 10295

Prime factors of 10295 are 5, 29, 71. Prime factorization of 10295 in exponential form is:

10295 = 5¹ × 29¹ × 71¹

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 10295

List of positive integer factors of 10295 that divides 10280 without a remainder.

1, 5, 29, 71, 145, 355, 2059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10280 and 10295. The biggest common factor number is the GCF number.
So the greatest common factor 10280 and 10295 is 5.

Also check out the Least Common Multiple of 10280 and 10295