What is the Greatest Common Factor of 10782 and 10801?

Greatest common factor (GCF) of 10782 and 10801 is 1.

GCF(10782,10801) = 1

We will now calculate the prime factors of 10782 and 10801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10782 and 10801.

How to find the GCF of 10782 and 10801?

We will first find the prime factorization of 10782 and 10801. After we will calculate the factors of 10782 and 10801 and find the biggest common factor number .

Step-1: Prime Factorization of 10782

Prime factors of 10782 are 2, 3, 599. Prime factorization of 10782 in exponential form is:

10782 = 2¹ × 3² × 599¹

Step-2: Prime Factorization of 10801

Prime factors of 10801 are 7, 1543. Prime factorization of 10801 in exponential form is:

10801 = 7¹ × 1543¹

Step-3: Factors of 10782

List of positive integer factors of 10782 that divides 10782 without a remainder.

1, 2, 3, 6, 9, 18, 599, 1198, 1797, 3594, 5391

Step-4: Factors of 10801

List of positive integer factors of 10801 that divides 10782 without a remainder.

1, 7, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10782 and 10801. The biggest common factor number is the GCF number.
So the greatest common factor 10782 and 10801 is 1.

Also check out the Least Common Multiple of 10782 and 10801