What is the Greatest Common Factor of 22724 and 22734?

Greatest common factor (GCF) of 22724 and 22734 is 2.

GCF(22724,22734) = 2

We will now calculate the prime factors of 22724 and 22734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22724 and 22734.

How to find the GCF of 22724 and 22734?

We will first find the prime factorization of 22724 and 22734. After we will calculate the factors of 22724 and 22734 and find the biggest common factor number .

Step-1: Prime Factorization of 22724

Prime factors of 22724 are 2, 13, 19, 23. Prime factorization of 22724 in exponential form is:

22724 = 2² × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 22734

Prime factors of 22734 are 2, 3, 421. Prime factorization of 22734 in exponential form is:

22734 = 2¹ × 3³ × 421¹

Step-3: Factors of 22724

List of positive integer factors of 22724 that divides 22724 without a remainder.

1, 2, 4, 13, 19, 23, 26, 38, 46, 52, 76, 92, 247, 299, 437, 494, 598, 874, 988, 1196, 1748, 5681, 11362

Step-4: Factors of 22734

List of positive integer factors of 22734 that divides 22724 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 421, 842, 1263, 2526, 3789, 7578, 11367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22724 and 22734. The biggest common factor number is the GCF number.
So the greatest common factor 22724 and 22734 is 2.

Also check out the Least Common Multiple of 22724 and 22734