What is the Greatest Common Factor of 21054 and 21065?

Greatest common factor (GCF) of 21054 and 21065 is 11.

GCF(21054,21065) = 11

We will now calculate the prime factors of 21054 and 21065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21054 and 21065.

How to find the GCF of 21054 and 21065?

We will first find the prime factorization of 21054 and 21065. After we will calculate the factors of 21054 and 21065 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 21065

Prime factors of 21065 are 5, 11, 383. Prime factorization of 21065 in exponential form is:

21065 = 5¹ × 11¹ × 383¹

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 21065

List of positive integer factors of 21065 that divides 21054 without a remainder.

1, 5, 11, 55, 383, 1915, 4213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21054 and 21065. The biggest common factor number is the GCF number.
So the greatest common factor 21054 and 21065 is 11.

Also check out the Least Common Multiple of 21054 and 21065