What is the Greatest Common Factor of 20492 and 20498?

Greatest common factor (GCF) of 20492 and 20498 is 2.

GCF(20492,20498) = 2

We will now calculate the prime factors of 20492 and 20498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20492 and 20498.

How to find the GCF of 20492 and 20498?

We will first find the prime factorization of 20492 and 20498. After we will calculate the factors of 20492 and 20498 and find the biggest common factor number .

Step-1: Prime Factorization of 20492

Prime factors of 20492 are 2, 47, 109. Prime factorization of 20492 in exponential form is:

20492 = 2² × 47¹ × 109¹

Step-2: 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-3: Factors of 20492

List of positive integer factors of 20492 that divides 20492 without a remainder.

1, 2, 4, 47, 94, 109, 188, 218, 436, 5123, 10246

Step-4: Factors of 20498

List of positive integer factors of 20498 that divides 20492 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20492 and 20498. The biggest common factor number is the GCF number.
So the greatest common factor 20492 and 20498 is 2.

Also check out the Least Common Multiple of 20492 and 20498