What is the Greatest Common Factor of 22448 and 22462?

Greatest common factor (GCF) of 22448 and 22462 is 2.

GCF(22448,22462) = 2

We will now calculate the prime factors of 22448 and 22462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22448 and 22462.

How to find the GCF of 22448 and 22462?

We will first find the prime factorization of 22448 and 22462. After we will calculate the factors of 22448 and 22462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22462

Prime factors of 22462 are 2, 11, 1021. Prime factorization of 22462 in exponential form is:

22462 = 2¹ × 11¹ × 1021¹

Step-3: Factors of 22448

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

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

Step-4: Factors of 22462

List of positive integer factors of 22462 that divides 22448 without a remainder.

1, 2, 11, 22, 1021, 2042, 11231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22448 and 22462. The biggest common factor number is the GCF number.
So the greatest common factor 22448 and 22462 is 2.

Also check out the Least Common Multiple of 22448 and 22462