What is the Greatest Common Factor of 20464 and 20484?

Greatest common factor (GCF) of 20464 and 20484 is 4.

GCF(20464,20484) = 4

We will now calculate the prime factors of 20464 and 20484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20464 and 20484.

How to find the GCF of 20464 and 20484?

We will first find the prime factorization of 20464 and 20484. After we will calculate the factors of 20464 and 20484 and find the biggest common factor number .

Step-1: Prime Factorization of 20464

Prime factors of 20464 are 2, 1279. Prime factorization of 20464 in exponential form is:

20464 = 2⁴ × 1279¹

Step-2: Prime Factorization of 20484

Prime factors of 20484 are 2, 3, 569. Prime factorization of 20484 in exponential form is:

20484 = 2² × 3² × 569¹

Step-3: Factors of 20464

List of positive integer factors of 20464 that divides 20464 without a remainder.

1, 2, 4, 8, 16, 1279, 2558, 5116, 10232

Step-4: Factors of 20484

List of positive integer factors of 20484 that divides 20464 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20464 and 20484. The biggest common factor number is the GCF number.
So the greatest common factor 20464 and 20484 is 4.

Also check out the Least Common Multiple of 20464 and 20484