What is the Greatest Common Factor of 21076 and 21084?

Greatest common factor (GCF) of 21076 and 21084 is 4.

GCF(21076,21084) = 4

We will now calculate the prime factors of 21076 and 21084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21076 and 21084.

How to find the GCF of 21076 and 21084?

We will first find the prime factorization of 21076 and 21084. After we will calculate the factors of 21076 and 21084 and find the biggest common factor number .

Step-1: 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-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 21076

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

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

Step-4: Factors of 21084

List of positive integer factors of 21084 that divides 21076 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 21076 and 21084. The biggest common factor number is the GCF number.
So the greatest common factor 21076 and 21084 is 4.

Also check out the Least Common Multiple of 21076 and 21084