What is the Greatest Common Factor of 22430 and 22448?

Greatest common factor (GCF) of 22430 and 22448 is 2.

GCF(22430,22448) = 2

We will now calculate the prime factors of 22430 and 22448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22430 and 22448.

How to find the GCF of 22430 and 22448?

We will first find the prime factorization of 22430 and 22448. After we will calculate the factors of 22430 and 22448 and find the biggest common factor number .

Step-1: Prime Factorization of 22430

Prime factors of 22430 are 2, 5, 2243. Prime factorization of 22430 in exponential form is:

22430 = 2¹ × 5¹ × 2243¹

Step-2: Prime Factorization of 22448

Prime factors of 22448 are 2, 23, 61. Prime factorization of 22448 in exponential form is:

22448 = 2⁴ × 23¹ × 61¹

Step-3: Factors of 22430

List of positive integer factors of 22430 that divides 22430 without a remainder.

1, 2, 5, 10, 2243, 4486, 11215

Step-4: Factors of 22448

List of positive integer factors of 22448 that divides 22430 without a remainder.

1, 2, 4, 8, 16, 23, 46, 61, 92, 122, 184, 244, 368, 488, 976, 1403, 2806, 5612, 11224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22430 and 22448. The biggest common factor number is the GCF number.
So the greatest common factor 22430 and 22448 is 2.

Also check out the Least Common Multiple of 22430 and 22448