What is the Greatest Common Factor of 20498 and 20504?

Greatest common factor (GCF) of 20498 and 20504 is 2.

GCF(20498,20504) = 2

We will now calculate the prime factors of 20498 and 20504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20498 and 20504.

How to find the GCF of 20498 and 20504?

We will first find the prime factorization of 20498 and 20504. After we will calculate the factors of 20498 and 20504 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 20504

Prime factors of 20504 are 2, 11, 233. Prime factorization of 20504 in exponential form is:

20504 = 2³ × 11¹ × 233¹

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 20504

List of positive integer factors of 20504 that divides 20498 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 233, 466, 932, 1864, 2563, 5126, 10252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20498 and 20504. The biggest common factor number is the GCF number.
So the greatest common factor 20498 and 20504 is 2.

Also check out the Least Common Multiple of 20498 and 20504