What is the Greatest Common Factor of 20498 and 20509?

Greatest common factor (GCF) of 20498 and 20509 is 1.

GCF(20498,20509) = 1

We will now calculate the prime factors of 20498 and 20509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20498 and 20509.

How to find the GCF of 20498 and 20509?

We will first find the prime factorization of 20498 and 20509. After we will calculate the factors of 20498 and 20509 and find the biggest common factor number .

Step-1: Prime Factorization of 20498

Prime factors of 20498 are 2, 37, 277. Prime factorization of 20498 in exponential form is:

20498 = 2¹ × 37¹ × 277¹

Step-2: Prime Factorization of 20509

Prime factors of 20509 are 20509. Prime factorization of 20509 in exponential form is:

20509 = 20509¹

Step-3: Factors of 20498

List of positive integer factors of 20498 that divides 20498 without a remainder.

1, 2, 37, 74, 277, 554, 10249

Step-4: Factors of 20509

List of positive integer factors of 20509 that divides 20498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20498 and 20509. The biggest common factor number is the GCF number.
So the greatest common factor 20498 and 20509 is 1.

Also check out the Least Common Multiple of 20498 and 20509