What is the Greatest Common Factor of 22428 and 22448?

Greatest common factor (GCF) of 22428 and 22448 is 4.

GCF(22428,22448) = 4

We will now calculate the prime factors of 22428 and 22448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22428 and 22448.

How to find the GCF of 22428 and 22448?

We will first find the prime factorization of 22428 and 22448. After we will calculate the factors of 22428 and 22448 and find the biggest common factor number .

Step-1: Prime Factorization of 22428

Prime factors of 22428 are 2, 3, 7, 89. Prime factorization of 22428 in exponential form is:

22428 = 2² × 3² × 7¹ × 89¹

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 22428

List of positive integer factors of 22428 that divides 22428 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 89, 126, 178, 252, 267, 356, 534, 623, 801, 1068, 1246, 1602, 1869, 2492, 3204, 3738, 5607, 7476, 11214

Step-4: Factors of 22448

List of positive integer factors of 22448 that divides 22428 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 22428 and 22448. The biggest common factor number is the GCF number.
So the greatest common factor 22428 and 22448 is 4.

Also check out the Least Common Multiple of 22428 and 22448