What is the Greatest Common Factor of 20448 and 20452?

Greatest common factor (GCF) of 20448 and 20452 is 4.

GCF(20448,20452) = 4

We will now calculate the prime factors of 20448 and 20452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20448 and 20452.

How to find the GCF of 20448 and 20452?

We will first find the prime factorization of 20448 and 20452. After we will calculate the factors of 20448 and 20452 and find the biggest common factor number .

Step-1: Prime Factorization of 20448

Prime factors of 20448 are 2, 3, 71. Prime factorization of 20448 in exponential form is:

20448 = 2⁵ × 3² × 71¹

Step-2: Prime Factorization of 20452

Prime factors of 20452 are 2, 5113. Prime factorization of 20452 in exponential form is:

20452 = 2² × 5113¹

Step-3: Factors of 20448

List of positive integer factors of 20448 that divides 20448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72, 96, 142, 144, 213, 284, 288, 426, 568, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 5112, 6816, 10224

Step-4: Factors of 20452

List of positive integer factors of 20452 that divides 20448 without a remainder.

1, 2, 4, 5113, 10226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20448 and 20452. The biggest common factor number is the GCF number.
So the greatest common factor 20448 and 20452 is 4.

Also check out the Least Common Multiple of 20448 and 20452