What is the Greatest Common Factor of 21072 and 21083?

Greatest common factor (GCF) of 21072 and 21083 is 1.

GCF(21072,21083) = 1

We will now calculate the prime factors of 21072 and 21083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21072 and 21083.

How to find the GCF of 21072 and 21083?

We will first find the prime factorization of 21072 and 21083. After we will calculate the factors of 21072 and 21083 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 21083

Prime factors of 21083 are 29, 727. Prime factorization of 21083 in exponential form is:

21083 = 29¹ × 727¹

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 21083

List of positive integer factors of 21083 that divides 21072 without a remainder.

1, 29, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21072 and 21083. The biggest common factor number is the GCF number.
So the greatest common factor 21072 and 21083 is 1.

Also check out the Least Common Multiple of 21072 and 21083