What is the Greatest Common Factor of 17766 and 17773?

Greatest common factor (GCF) of 17766 and 17773 is 7.

GCF(17766,17773) = 7

We will now calculate the prime factors of 17766 and 17773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17766 and 17773.

How to find the GCF of 17766 and 17773?

We will first find the prime factorization of 17766 and 17773. After we will calculate the factors of 17766 and 17773 and find the biggest common factor number .

Step-1: Prime Factorization of 17766

Prime factors of 17766 are 2, 3, 7, 47. Prime factorization of 17766 in exponential form is:

17766 = 2¹ × 3³ × 7¹ × 47¹

Step-2: Prime Factorization of 17773

Prime factors of 17773 are 7, 2539. Prime factorization of 17773 in exponential form is:

17773 = 7¹ × 2539¹

Step-3: Factors of 17766

List of positive integer factors of 17766 that divides 17766 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 47, 54, 63, 94, 126, 141, 189, 282, 329, 378, 423, 658, 846, 987, 1269, 1974, 2538, 2961, 5922, 8883

Step-4: Factors of 17773

List of positive integer factors of 17773 that divides 17766 without a remainder.

1, 7, 2539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17766 and 17773. The biggest common factor number is the GCF number.
So the greatest common factor 17766 and 17773 is 7.

Also check out the Least Common Multiple of 17766 and 17773