What is the Greatest Common Factor of 20528 and 20532?

Greatest common factor (GCF) of 20528 and 20532 is 4.

GCF(20528,20532) = 4

We will now calculate the prime factors of 20528 and 20532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20528 and 20532.

How to find the GCF of 20528 and 20532?

We will first find the prime factorization of 20528 and 20532. After we will calculate the factors of 20528 and 20532 and find the biggest common factor number .

Step-1: Prime Factorization of 20528

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

20528 = 2⁴ × 1283¹

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 20528

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

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

Step-4: Factors of 20532

List of positive integer factors of 20532 that divides 20528 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 20528 and 20532. The biggest common factor number is the GCF number.
So the greatest common factor 20528 and 20532 is 4.

Also check out the Least Common Multiple of 20528 and 20532