What is the Greatest Common Factor of 22736 and 22747?

Greatest common factor (GCF) of 22736 and 22747 is 1.

GCF(22736,22747) = 1

We will now calculate the prime factors of 22736 and 22747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22736 and 22747.

How to find the GCF of 22736 and 22747?

We will first find the prime factorization of 22736 and 22747. After we will calculate the factors of 22736 and 22747 and find the biggest common factor number .

Step-1: Prime Factorization of 22736

Prime factors of 22736 are 2, 7, 29. Prime factorization of 22736 in exponential form is:

22736 = 2⁴ × 7² × 29¹

Step-2: Prime Factorization of 22747

Prime factors of 22747 are 23, 43. Prime factorization of 22747 in exponential form is:

22747 = 23² × 43¹

Step-3: Factors of 22736

List of positive integer factors of 22736 that divides 22736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 49, 56, 58, 98, 112, 116, 196, 203, 232, 392, 406, 464, 784, 812, 1421, 1624, 2842, 3248, 5684, 11368

Step-4: Factors of 22747

List of positive integer factors of 22747 that divides 22736 without a remainder.

1, 23, 43, 529, 989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22736 and 22747. The biggest common factor number is the GCF number.
So the greatest common factor 22736 and 22747 is 1.

Also check out the Least Common Multiple of 22736 and 22747