What is the Greatest Common Factor of 20517 and 20532?

Greatest common factor (GCF) of 20517 and 20532 is 3.

GCF(20517,20532) = 3

We will now calculate the prime factors of 20517 and 20532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20517 and 20532.

How to find the GCF of 20517 and 20532?

We will first find the prime factorization of 20517 and 20532. After we will calculate the factors of 20517 and 20532 and find the biggest common factor number .

Step-1: Prime Factorization of 20517

Prime factors of 20517 are 3, 7, 977. Prime factorization of 20517 in exponential form is:

20517 = 3¹ × 7¹ × 977¹

Step-2: Prime Factorization of 20532

Prime factors of 20532 are 2, 3, 29, 59. Prime factorization of 20532 in exponential form is:

20532 = 2² × 3¹ × 29¹ × 59¹

Step-3: Factors of 20517

List of positive integer factors of 20517 that divides 20517 without a remainder.

1, 3, 7, 21, 977, 2931, 6839

Step-4: Factors of 20532

List of positive integer factors of 20532 that divides 20517 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 59, 87, 116, 118, 174, 177, 236, 348, 354, 708, 1711, 3422, 5133, 6844, 10266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20517 and 20532. The biggest common factor number is the GCF number.
So the greatest common factor 20517 and 20532 is 3.

Also check out the Least Common Multiple of 20517 and 20532