What is the Greatest Common Factor of 20504 and 20515?

Greatest common factor (GCF) of 20504 and 20515 is 11.

GCF(20504,20515) = 11

We will now calculate the prime factors of 20504 and 20515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20504 and 20515.

How to find the GCF of 20504 and 20515?

We will first find the prime factorization of 20504 and 20515. After we will calculate the factors of 20504 and 20515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20515

Prime factors of 20515 are 5, 11, 373. Prime factorization of 20515 in exponential form is:

20515 = 5¹ × 11¹ × 373¹

Step-3: Factors of 20504

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

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

Step-4: Factors of 20515

List of positive integer factors of 20515 that divides 20504 without a remainder.

1, 5, 11, 55, 373, 1865, 4103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20504 and 20515. The biggest common factor number is the GCF number.
So the greatest common factor 20504 and 20515 is 11.

Also check out the Least Common Multiple of 20504 and 20515