What is the Greatest Common Factor of 20474 and 20480?

Greatest common factor (GCF) of 20474 and 20480 is 2.

GCF(20474,20480) = 2

We will now calculate the prime factors of 20474 and 20480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20474 and 20480.

How to find the GCF of 20474 and 20480?

We will first find the prime factorization of 20474 and 20480. After we will calculate the factors of 20474 and 20480 and find the biggest common factor number .

Step-1: Prime Factorization of 20474

Prime factors of 20474 are 2, 29, 353. Prime factorization of 20474 in exponential form is:

20474 = 2¹ × 29¹ × 353¹

Step-2: Prime Factorization of 20480

Prime factors of 20480 are 2, 5. Prime factorization of 20480 in exponential form is:

20480 = 2¹² × 5¹

Step-3: Factors of 20474

List of positive integer factors of 20474 that divides 20474 without a remainder.

1, 2, 29, 58, 353, 706, 10237

Step-4: Factors of 20480

List of positive integer factors of 20480 that divides 20474 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 10240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20474 and 20480. The biggest common factor number is the GCF number.
So the greatest common factor 20474 and 20480 is 2.

Also check out the Least Common Multiple of 20474 and 20480