What is the Greatest Common Factor of 20434 and 20448?

Greatest common factor (GCF) of 20434 and 20448 is 2.

GCF(20434,20448) = 2

We will now calculate the prime factors of 20434 and 20448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20434 and 20448.

How to find the GCF of 20434 and 20448?

We will first find the prime factorization of 20434 and 20448. After we will calculate the factors of 20434 and 20448 and find the biggest common factor number .

Step-1: Prime Factorization of 20434

Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:

20434 = 2¹ × 17¹ × 601¹

Step-2: 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-3: Factors of 20434

List of positive integer factors of 20434 that divides 20434 without a remainder.

1, 2, 17, 34, 601, 1202, 10217

Step-4: Factors of 20448

List of positive integer factors of 20448 that divides 20434 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20434 and 20448. The biggest common factor number is the GCF number.
So the greatest common factor 20434 and 20448 is 2.

Also check out the Least Common Multiple of 20434 and 20448