What is the Greatest Common Factor of 10712 and 10726?

Greatest common factor (GCF) of 10712 and 10726 is 2.

GCF(10712,10726) = 2

We will now calculate the prime factors of 10712 and 10726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10712 and 10726.

How to find the GCF of 10712 and 10726?

We will first find the prime factorization of 10712 and 10726. After we will calculate the factors of 10712 and 10726 and find the biggest common factor number .

Step-1: Prime Factorization of 10712

Prime factors of 10712 are 2, 13, 103. Prime factorization of 10712 in exponential form is:

10712 = 2³ × 13¹ × 103¹

Step-2: Prime Factorization of 10726

Prime factors of 10726 are 2, 31, 173. Prime factorization of 10726 in exponential form is:

10726 = 2¹ × 31¹ × 173¹

Step-3: Factors of 10712

List of positive integer factors of 10712 that divides 10712 without a remainder.

1, 2, 4, 8, 13, 26, 52, 103, 104, 206, 412, 824, 1339, 2678, 5356

Step-4: Factors of 10726

List of positive integer factors of 10726 that divides 10712 without a remainder.

1, 2, 31, 62, 173, 346, 5363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10712 and 10726. The biggest common factor number is the GCF number.
So the greatest common factor 10712 and 10726 is 2.

Also check out the Least Common Multiple of 10712 and 10726