What is the Greatest Common Factor of 20458 and 20477?

Greatest common factor (GCF) of 20458 and 20477 is 1.

GCF(20458,20477) = 1

We will now calculate the prime factors of 20458 and 20477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20458 and 20477.

How to find the GCF of 20458 and 20477?

We will first find the prime factorization of 20458 and 20477. After we will calculate the factors of 20458 and 20477 and find the biggest common factor number .

Step-1: Prime Factorization of 20458

Prime factors of 20458 are 2, 53, 193. Prime factorization of 20458 in exponential form is:

20458 = 2¹ × 53¹ × 193¹

Step-2: Prime Factorization of 20477

Prime factors of 20477 are 20477. Prime factorization of 20477 in exponential form is:

20477 = 20477¹

Step-3: Factors of 20458

List of positive integer factors of 20458 that divides 20458 without a remainder.

1, 2, 53, 106, 193, 386, 10229

Step-4: Factors of 20477

List of positive integer factors of 20477 that divides 20458 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20458 and 20477. The biggest common factor number is the GCF number.
So the greatest common factor 20458 and 20477 is 1.

Also check out the Least Common Multiple of 20458 and 20477