What is the Greatest Common Factor of 10706 and 10724?

Greatest common factor (GCF) of 10706 and 10724 is 2.

GCF(10706,10724) = 2

We will now calculate the prime factors of 10706 and 10724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10706 and 10724.

How to find the GCF of 10706 and 10724?

We will first find the prime factorization of 10706 and 10724. After we will calculate the factors of 10706 and 10724 and find the biggest common factor number .

Step-1: Prime Factorization of 10706

Prime factors of 10706 are 2, 53, 101. Prime factorization of 10706 in exponential form is:

10706 = 2¹ × 53¹ × 101¹

Step-2: Prime Factorization of 10724

Prime factors of 10724 are 2, 7, 383. Prime factorization of 10724 in exponential form is:

10724 = 2² × 7¹ × 383¹

Step-3: Factors of 10706

List of positive integer factors of 10706 that divides 10706 without a remainder.

1, 2, 53, 101, 106, 202, 5353

Step-4: Factors of 10724

List of positive integer factors of 10724 that divides 10706 without a remainder.

1, 2, 4, 7, 14, 28, 383, 766, 1532, 2681, 5362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10706 and 10724. The biggest common factor number is the GCF number.
So the greatest common factor 10706 and 10724 is 2.

Also check out the Least Common Multiple of 10706 and 10724