What is the Greatest Common Factor of 10678 and 10697?

Greatest common factor (GCF) of 10678 and 10697 is 19.

GCF(10678,10697) = 19

We will now calculate the prime factors of 10678 and 10697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10678 and 10697.

How to find the GCF of 10678 and 10697?

We will first find the prime factorization of 10678 and 10697. After we will calculate the factors of 10678 and 10697 and find the biggest common factor number .

Step-1: Prime Factorization of 10678

Prime factors of 10678 are 2, 19, 281. Prime factorization of 10678 in exponential form is:

10678 = 2¹ × 19¹ × 281¹

Step-2: Prime Factorization of 10697

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

10697 = 19¹ × 563¹

Step-3: Factors of 10678

List of positive integer factors of 10678 that divides 10678 without a remainder.

1, 2, 19, 38, 281, 562, 5339

Step-4: Factors of 10697

List of positive integer factors of 10697 that divides 10678 without a remainder.

1, 19, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10678 and 10697. The biggest common factor number is the GCF number.
So the greatest common factor 10678 and 10697 is 19.

Also check out the Least Common Multiple of 10678 and 10697