What is the Greatest Common Factor of 17764 and 17778?

Greatest common factor (GCF) of 17764 and 17778 is 2.

GCF(17764,17778) = 2

We will now calculate the prime factors of 17764 and 17778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17764 and 17778.

How to find the GCF of 17764 and 17778?

We will first find the prime factorization of 17764 and 17778. After we will calculate the factors of 17764 and 17778 and find the biggest common factor number .

Step-1: Prime Factorization of 17764

Prime factors of 17764 are 2, 4441. Prime factorization of 17764 in exponential form is:

17764 = 2² × 4441¹

Step-2: Prime Factorization of 17778

Prime factors of 17778 are 2, 3, 2963. Prime factorization of 17778 in exponential form is:

17778 = 2¹ × 3¹ × 2963¹

Step-3: Factors of 17764

List of positive integer factors of 17764 that divides 17764 without a remainder.

1, 2, 4, 4441, 8882

Step-4: Factors of 17778

List of positive integer factors of 17778 that divides 17764 without a remainder.

1, 2, 3, 6, 2963, 5926, 8889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17764 and 17778. The biggest common factor number is the GCF number.
So the greatest common factor 17764 and 17778 is 2.

Also check out the Least Common Multiple of 17764 and 17778