What is the Greatest Common Factor of 10707 and 10726?

Greatest common factor (GCF) of 10707 and 10726 is 1.

GCF(10707,10726) = 1

We will now calculate the prime factors of 10707 and 10726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10707 and 10726.

How to find the GCF of 10707 and 10726?

We will first find the prime factorization of 10707 and 10726. After we will calculate the factors of 10707 and 10726 and find the biggest common factor number .

Step-1: Prime Factorization of 10707

Prime factors of 10707 are 3, 43, 83. Prime factorization of 10707 in exponential form is:

10707 = 3¹ × 43¹ × 83¹

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 10707

List of positive integer factors of 10707 that divides 10707 without a remainder.

1, 3, 43, 83, 129, 249, 3569

Step-4: Factors of 10726

List of positive integer factors of 10726 that divides 10707 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10707 and 10726. The biggest common factor number is the GCF number.
So the greatest common factor 10707 and 10726 is 1.

Also check out the Least Common Multiple of 10707 and 10726