What is the Greatest Common Factor of 22334 and 22352?

Greatest common factor (GCF) of 22334 and 22352 is 2.

GCF(22334,22352) = 2

We will now calculate the prime factors of 22334 and 22352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22334 and 22352.

How to find the GCF of 22334 and 22352?

We will first find the prime factorization of 22334 and 22352. After we will calculate the factors of 22334 and 22352 and find the biggest common factor number .

Step-1: Prime Factorization of 22334

Prime factors of 22334 are 2, 13, 859. Prime factorization of 22334 in exponential form is:

22334 = 2¹ × 13¹ × 859¹

Step-2: Prime Factorization of 22352

Prime factors of 22352 are 2, 11, 127. Prime factorization of 22352 in exponential form is:

22352 = 2⁴ × 11¹ × 127¹

Step-3: Factors of 22334

List of positive integer factors of 22334 that divides 22334 without a remainder.

1, 2, 13, 26, 859, 1718, 11167

Step-4: Factors of 22352

List of positive integer factors of 22352 that divides 22334 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 127, 176, 254, 508, 1016, 1397, 2032, 2794, 5588, 11176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22334 and 22352. The biggest common factor number is the GCF number.
So the greatest common factor 22334 and 22352 is 2.

Also check out the Least Common Multiple of 22334 and 22352