What is the Greatest Common Factor of 22760 and 22778?

Greatest common factor (GCF) of 22760 and 22778 is 2.

GCF(22760,22778) = 2

We will now calculate the prime factors of 22760 and 22778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22760 and 22778.

How to find the GCF of 22760 and 22778?

We will first find the prime factorization of 22760 and 22778. After we will calculate the factors of 22760 and 22778 and find the biggest common factor number .

Step-1: Prime Factorization of 22760

Prime factors of 22760 are 2, 5, 569. Prime factorization of 22760 in exponential form is:

22760 = 2³ × 5¹ × 569¹

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 22760

List of positive integer factors of 22760 that divides 22760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 569, 1138, 2276, 2845, 4552, 5690, 11380

Step-4: Factors of 22778

List of positive integer factors of 22778 that divides 22760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22760 and 22778. The biggest common factor number is the GCF number.
So the greatest common factor 22760 and 22778 is 2.

Also check out the Least Common Multiple of 22760 and 22778