What is the Greatest Common Factor of 10288 and 10292?

Greatest common factor (GCF) of 10288 and 10292 is 4.

GCF(10288,10292) = 4

We will now calculate the prime factors of 10288 and 10292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10288 and 10292.

How to find the GCF of 10288 and 10292?

We will first find the prime factorization of 10288 and 10292. After we will calculate the factors of 10288 and 10292 and find the biggest common factor number .

Step-1: Prime Factorization of 10288

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

10288 = 2⁴ × 643¹

Step-2: Prime Factorization of 10292

Prime factors of 10292 are 2, 31, 83. Prime factorization of 10292 in exponential form is:

10292 = 2² × 31¹ × 83¹

Step-3: Factors of 10288

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

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

Step-4: Factors of 10292

List of positive integer factors of 10292 that divides 10288 without a remainder.

1, 2, 4, 31, 62, 83, 124, 166, 332, 2573, 5146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10288 and 10292. The biggest common factor number is the GCF number.
So the greatest common factor 10288 and 10292 is 4.

Also check out the Least Common Multiple of 10288 and 10292