What is the Greatest Common Factor of 10697 and 10712?

Greatest common factor (GCF) of 10697 and 10712 is 1.

GCF(10697,10712) = 1

We will now calculate the prime factors of 10697 and 10712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10697 and 10712.

How to find the GCF of 10697 and 10712?

We will first find the prime factorization of 10697 and 10712. After we will calculate the factors of 10697 and 10712 and find the biggest common factor number .

Step-1: Prime Factorization of 10697

Prime factors of 10697 are 19, 563. Prime factorization of 10697 in exponential form is:

10697 = 19¹ × 563¹

Step-2: 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-3: Factors of 10697

List of positive integer factors of 10697 that divides 10697 without a remainder.

1, 19, 563

Step-4: Factors of 10712

List of positive integer factors of 10712 that divides 10697 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10697 and 10712. The biggest common factor number is the GCF number.
So the greatest common factor 10697 and 10712 is 1.

Also check out the Least Common Multiple of 10697 and 10712