What is the Greatest Common Factor of 21054 and 21072?

Greatest common factor (GCF) of 21054 and 21072 is 6.

GCF(21054,21072) = 6

We will now calculate the prime factors of 21054 and 21072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21054 and 21072.

How to find the GCF of 21054 and 21072?

We will first find the prime factorization of 21054 and 21072. After we will calculate the factors of 21054 and 21072 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 21072

Prime factors of 21072 are 2, 3, 439. Prime factorization of 21072 in exponential form is:

21072 = 2⁴ × 3¹ × 439¹

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 21072

List of positive integer factors of 21072 that divides 21054 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 439, 878, 1317, 1756, 2634, 3512, 5268, 7024, 10536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21054 and 21072. The biggest common factor number is the GCF number.
So the greatest common factor 21054 and 21072 is 6.

Also check out the Least Common Multiple of 21054 and 21072