What is the Greatest Common Factor of 21528 and 21541?

Greatest common factor (GCF) of 21528 and 21541 is 13.

GCF(21528,21541) = 13

We will now calculate the prime factors of 21528 and 21541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21528 and 21541.

How to find the GCF of 21528 and 21541?

We will first find the prime factorization of 21528 and 21541. After we will calculate the factors of 21528 and 21541 and find the biggest common factor number .

Step-1: Prime Factorization of 21528

Prime factors of 21528 are 2, 3, 13, 23. Prime factorization of 21528 in exponential form is:

21528 = 2³ × 3² × 13¹ × 23¹

Step-2: Prime Factorization of 21541

Prime factors of 21541 are 13, 1657. Prime factorization of 21541 in exponential form is:

21541 = 13¹ × 1657¹

Step-3: Factors of 21528

List of positive integer factors of 21528 that divides 21528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 23, 24, 26, 36, 39, 46, 52, 69, 72, 78, 92, 104, 117, 138, 156, 184, 207, 234, 276, 299, 312, 414, 468, 552, 598, 828, 897, 936, 1196, 1656, 1794, 2392, 2691, 3588, 5382, 7176, 10764

Step-4: Factors of 21541

List of positive integer factors of 21541 that divides 21528 without a remainder.

1, 13, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21528 and 21541. The biggest common factor number is the GCF number.
So the greatest common factor 21528 and 21541 is 13.

Also check out the Least Common Multiple of 21528 and 21541