What is the Greatest Common Factor of 21072 and 21078?

Greatest common factor (GCF) of 21072 and 21078 is 6.

GCF(21072,21078) = 6

We will now calculate the prime factors of 21072 and 21078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21072 and 21078.

How to find the GCF of 21072 and 21078?

We will first find the prime factorization of 21072 and 21078. After we will calculate the factors of 21072 and 21078 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21078

Prime factors of 21078 are 2, 3, 1171. Prime factorization of 21078 in exponential form is:

21078 = 2¹ × 3² × 1171¹

Step-3: Factors of 21072

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

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

Step-4: Factors of 21078

List of positive integer factors of 21078 that divides 21072 without a remainder.

1, 2, 3, 6, 9, 18, 1171, 2342, 3513, 7026, 10539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21072 and 21078. The biggest common factor number is the GCF number.
So the greatest common factor 21072 and 21078 is 6.

Also check out the Least Common Multiple of 21072 and 21078