What is the Greatest Common Factor of 20454 and 20469?

Greatest common factor (GCF) of 20454 and 20469 is 3.

GCF(20454,20469) = 3

We will now calculate the prime factors of 20454 and 20469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20454 and 20469.

How to find the GCF of 20454 and 20469?

We will first find the prime factorization of 20454 and 20469. After we will calculate the factors of 20454 and 20469 and find the biggest common factor number .

Step-1: Prime Factorization of 20454

Prime factors of 20454 are 2, 3, 7, 487. Prime factorization of 20454 in exponential form is:

20454 = 2¹ × 3¹ × 7¹ × 487¹

Step-2: Prime Factorization of 20469

Prime factors of 20469 are 3, 6823. Prime factorization of 20469 in exponential form is:

20469 = 3¹ × 6823¹

Step-3: Factors of 20454

List of positive integer factors of 20454 that divides 20454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 487, 974, 1461, 2922, 3409, 6818, 10227

Step-4: Factors of 20469

List of positive integer factors of 20469 that divides 20454 without a remainder.

1, 3, 6823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20454 and 20469. The biggest common factor number is the GCF number.
So the greatest common factor 20454 and 20469 is 3.

Also check out the Least Common Multiple of 20454 and 20469