What is the Greatest Common Factor of 21084 and 21104?

Greatest common factor (GCF) of 21084 and 21104 is 4.

GCF(21084,21104) = 4

We will now calculate the prime factors of 21084 and 21104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21084 and 21104.

How to find the GCF of 21084 and 21104?

We will first find the prime factorization of 21084 and 21104. After we will calculate the factors of 21084 and 21104 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21104

Prime factors of 21104 are 2, 1319. Prime factorization of 21104 in exponential form is:

21104 = 2⁴ × 1319¹

Step-3: Factors of 21084

List of positive integer factors of 21084 that divides 21084 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

Step-4: Factors of 21104

List of positive integer factors of 21104 that divides 21084 without a remainder.

1, 2, 4, 8, 16, 1319, 2638, 5276, 10552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21084 and 21104. The biggest common factor number is the GCF number.
So the greatest common factor 21084 and 21104 is 4.

Also check out the Least Common Multiple of 21084 and 21104