What is the Greatest Common Factor of 21045 and 21054?

Greatest common factor (GCF) of 21045 and 21054 is 3.

GCF(21045,21054) = 3

We will now calculate the prime factors of 21045 and 21054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21045 and 21054.

How to find the GCF of 21045 and 21054?

We will first find the prime factorization of 21045 and 21054. After we will calculate the factors of 21045 and 21054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21054

Prime factors of 21054 are 2, 3, 11, 29. Prime factorization of 21054 in exponential form is:

21054 = 2¹ × 3¹ × 11² × 29¹

Step-3: Factors of 21045

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

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

Step-4: Factors of 21054

List of positive integer factors of 21054 that divides 21045 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 121, 174, 242, 319, 363, 638, 726, 957, 1914, 3509, 7018, 10527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21045 and 21054. The biggest common factor number is the GCF number.
So the greatest common factor 21045 and 21054 is 3.

Also check out the Least Common Multiple of 21045 and 21054