What is the Greatest Common Factor of 21072 and 21084?

Greatest common factor (GCF) of 21072 and 21084 is 12.

GCF(21072,21084) = 12

We will now calculate the prime factors of 21072 and 21084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21072 and 21084.

How to find the GCF of 21072 and 21084?

We will first find the prime factorization of 21072 and 21084. After we will calculate the factors of 21072 and 21084 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 21084

Prime factors of 21084 are 2, 3, 7, 251. Prime factorization of 21084 in exponential form is:

21084 = 2² × 3¹ × 7¹ × 251¹

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 21084

List of positive integer factors of 21084 that divides 21072 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 251, 502, 753, 1004, 1506, 1757, 3012, 3514, 5271, 7028, 10542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21072 and 21084. The biggest common factor number is the GCF number.
So the greatest common factor 21072 and 21084 is 12.

Also check out the Least Common Multiple of 21072 and 21084