What is the Greatest Common Factor of 22736 and 22750?

Greatest common factor (GCF) of 22736 and 22750 is 14.

GCF(22736,22750) = 14

We will now calculate the prime factors of 22736 and 22750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22736 and 22750.

How to find the GCF of 22736 and 22750?

We will first find the prime factorization of 22736 and 22750. After we will calculate the factors of 22736 and 22750 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 22750

Prime factors of 22750 are 2, 5, 7, 13. Prime factorization of 22750 in exponential form is:

22750 = 2¹ × 5³ × 7¹ × 13¹

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 22750

List of positive integer factors of 22750 that divides 22736 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 125, 130, 175, 182, 250, 325, 350, 455, 650, 875, 910, 1625, 1750, 2275, 3250, 4550, 11375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22736 and 22750. The biggest common factor number is the GCF number.
So the greatest common factor 22736 and 22750 is 14.

Also check out the Least Common Multiple of 22736 and 22750