What is the Greatest Common Factor of 17776 and 17796?

Greatest common factor (GCF) of 17776 and 17796 is 4.

GCF(17776,17796) = 4

We will now calculate the prime factors of 17776 and 17796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17776 and 17796.

How to find the GCF of 17776 and 17796?

We will first find the prime factorization of 17776 and 17796. After we will calculate the factors of 17776 and 17796 and find the biggest common factor number .

Step-1: Prime Factorization of 17776

Prime factors of 17776 are 2, 11, 101. Prime factorization of 17776 in exponential form is:

17776 = 2⁴ × 11¹ × 101¹

Step-2: Prime Factorization of 17796

Prime factors of 17796 are 2, 3, 1483. Prime factorization of 17796 in exponential form is:

17796 = 2² × 3¹ × 1483¹

Step-3: Factors of 17776

List of positive integer factors of 17776 that divides 17776 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 101, 176, 202, 404, 808, 1111, 1616, 2222, 4444, 8888

Step-4: Factors of 17796

List of positive integer factors of 17796 that divides 17776 without a remainder.

1, 2, 3, 4, 6, 12, 1483, 2966, 4449, 5932, 8898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17776 and 17796. The biggest common factor number is the GCF number.
So the greatest common factor 17776 and 17796 is 4.

Also check out the Least Common Multiple of 17776 and 17796