What is the Greatest Common Factor of 17676 and 17687?

Greatest common factor (GCF) of 17676 and 17687 is 1.

GCF(17676,17687) = 1

We will now calculate the prime factors of 17676 and 17687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17676 and 17687.

How to find the GCF of 17676 and 17687?

We will first find the prime factorization of 17676 and 17687. After we will calculate the factors of 17676 and 17687 and find the biggest common factor number .

Step-1: Prime Factorization of 17676

Prime factors of 17676 are 2, 3, 491. Prime factorization of 17676 in exponential form is:

17676 = 2² × 3² × 491¹

Step-2: Prime Factorization of 17687

Prime factors of 17687 are 23, 769. Prime factorization of 17687 in exponential form is:

17687 = 23¹ × 769¹

Step-3: Factors of 17676

List of positive integer factors of 17676 that divides 17676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 491, 982, 1473, 1964, 2946, 4419, 5892, 8838

Step-4: Factors of 17687

List of positive integer factors of 17687 that divides 17676 without a remainder.

1, 23, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17676 and 17687. The biggest common factor number is the GCF number.
So the greatest common factor 17676 and 17687 is 1.

Also check out the Least Common Multiple of 17676 and 17687