What is the Greatest Common Factor of 17696 and 17707?

Greatest common factor (GCF) of 17696 and 17707 is 1.

GCF(17696,17707) = 1

We will now calculate the prime factors of 17696 and 17707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17696 and 17707.

How to find the GCF of 17696 and 17707?

We will first find the prime factorization of 17696 and 17707. After we will calculate the factors of 17696 and 17707 and find the biggest common factor number .

Step-1: Prime Factorization of 17696

Prime factors of 17696 are 2, 7, 79. Prime factorization of 17696 in exponential form is:

17696 = 2⁵ × 7¹ × 79¹

Step-2: Prime Factorization of 17707

Prime factors of 17707 are 17707. Prime factorization of 17707 in exponential form is:

17707 = 17707¹

Step-3: Factors of 17696

List of positive integer factors of 17696 that divides 17696 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 79, 112, 158, 224, 316, 553, 632, 1106, 1264, 2212, 2528, 4424, 8848

Step-4: Factors of 17707

List of positive integer factors of 17707 that divides 17696 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17696 and 17707. The biggest common factor number is the GCF number.
So the greatest common factor 17696 and 17707 is 1.

Also check out the Least Common Multiple of 17696 and 17707