What is the Greatest Common Factor of 22772 and 22778?

Greatest common factor (GCF) of 22772 and 22778 is 2.

GCF(22772,22778) = 2

We will now calculate the prime factors of 22772 and 22778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22772 and 22778.

How to find the GCF of 22772 and 22778?

We will first find the prime factorization of 22772 and 22778. After we will calculate the factors of 22772 and 22778 and find the biggest common factor number .

Step-1: Prime Factorization of 22772

Prime factors of 22772 are 2, 5693. Prime factorization of 22772 in exponential form is:

22772 = 2² × 5693¹

Step-2: Prime Factorization of 22778

Prime factors of 22778 are 2, 7, 1627. Prime factorization of 22778 in exponential form is:

22778 = 2¹ × 7¹ × 1627¹

Step-3: Factors of 22772

List of positive integer factors of 22772 that divides 22772 without a remainder.

1, 2, 4, 5693, 11386

Step-4: Factors of 22778

List of positive integer factors of 22778 that divides 22772 without a remainder.

1, 2, 7, 14, 1627, 3254, 11389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22772 and 22778. The biggest common factor number is the GCF number.
So the greatest common factor 22772 and 22778 is 2.

Also check out the Least Common Multiple of 22772 and 22778