What is the Greatest Common Factor of 21054 and 21058?

Greatest common factor (GCF) of 21054 and 21058 is 2.

GCF(21054,21058) = 2

We will now calculate the prime factors of 21054 and 21058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21054 and 21058.

How to find the GCF of 21054 and 21058?

We will first find the prime factorization of 21054 and 21058. After we will calculate the factors of 21054 and 21058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21058

Prime factors of 21058 are 2, 10529. Prime factorization of 21058 in exponential form is:

21058 = 2¹ × 10529¹

Step-3: Factors of 21054

List of positive integer factors of 21054 that divides 21054 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

Step-4: Factors of 21058

List of positive integer factors of 21058 that divides 21054 without a remainder.

1, 2, 10529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21054 and 21058. The biggest common factor number is the GCF number.
So the greatest common factor 21054 and 21058 is 2.

Also check out the Least Common Multiple of 21054 and 21058