What is the Greatest Common Factor of 20508 and 20528?

Greatest common factor (GCF) of 20508 and 20528 is 4.

GCF(20508,20528) = 4

We will now calculate the prime factors of 20508 and 20528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20508 and 20528.

How to find the GCF of 20508 and 20528?

We will first find the prime factorization of 20508 and 20528. After we will calculate the factors of 20508 and 20528 and find the biggest common factor number .

Step-1: Prime Factorization of 20508

Prime factors of 20508 are 2, 3, 1709. Prime factorization of 20508 in exponential form is:

20508 = 2² × 3¹ × 1709¹

Step-2: Prime Factorization of 20528

Prime factors of 20528 are 2, 1283. Prime factorization of 20528 in exponential form is:

20528 = 2⁴ × 1283¹

Step-3: Factors of 20508

List of positive integer factors of 20508 that divides 20508 without a remainder.

1, 2, 3, 4, 6, 12, 1709, 3418, 5127, 6836, 10254

Step-4: Factors of 20528

List of positive integer factors of 20528 that divides 20508 without a remainder.

1, 2, 4, 8, 16, 1283, 2566, 5132, 10264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20508 and 20528. The biggest common factor number is the GCF number.
So the greatest common factor 20508 and 20528 is 4.

Also check out the Least Common Multiple of 20508 and 20528