What is the Greatest Common Factor of 21072 and 21076?

Greatest common factor (GCF) of 21072 and 21076 is 4.

GCF(21072,21076) = 4

We will now calculate the prime factors of 21072 and 21076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21072 and 21076.

How to find the GCF of 21072 and 21076?

We will first find the prime factorization of 21072 and 21076. After we will calculate the factors of 21072 and 21076 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 21076

Prime factors of 21076 are 2, 11, 479. Prime factorization of 21076 in exponential form is:

21076 = 2² × 11¹ × 479¹

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 21076

List of positive integer factors of 21076 that divides 21072 without a remainder.

1, 2, 4, 11, 22, 44, 479, 958, 1916, 5269, 10538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21072 and 21076. The biggest common factor number is the GCF number.
So the greatest common factor 21072 and 21076 is 4.

Also check out the Least Common Multiple of 21072 and 21076