What is the Greatest Common Factor of 21036 and 21045?

Greatest common factor (GCF) of 21036 and 21045 is 3.

GCF(21036,21045) = 3

We will now calculate the prime factors of 21036 and 21045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21036 and 21045.

How to find the GCF of 21036 and 21045?

We will first find the prime factorization of 21036 and 21045. After we will calculate the factors of 21036 and 21045 and find the biggest common factor number .

Step-1: Prime Factorization of 21036

Prime factors of 21036 are 2, 3, 1753. Prime factorization of 21036 in exponential form is:

21036 = 2² × 3¹ × 1753¹

Step-2: Prime Factorization of 21045

Prime factors of 21045 are 3, 5, 23, 61. Prime factorization of 21045 in exponential form is:

21045 = 3¹ × 5¹ × 23¹ × 61¹

Step-3: Factors of 21036

List of positive integer factors of 21036 that divides 21036 without a remainder.

1, 2, 3, 4, 6, 12, 1753, 3506, 5259, 7012, 10518

Step-4: Factors of 21045

List of positive integer factors of 21045 that divides 21036 without a remainder.

1, 3, 5, 15, 23, 61, 69, 115, 183, 305, 345, 915, 1403, 4209, 7015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21036 and 21045. The biggest common factor number is the GCF number.
So the greatest common factor 21036 and 21045 is 3.

Also check out the Least Common Multiple of 21036 and 21045