What is the Greatest Common Factor of 21084 and 21088?

Greatest common factor (GCF) of 21084 and 21088 is 4.

GCF(21084,21088) = 4

We will now calculate the prime factors of 21084 and 21088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21084 and 21088.

How to find the GCF of 21084 and 21088?

We will first find the prime factorization of 21084 and 21088. After we will calculate the factors of 21084 and 21088 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 21088

Prime factors of 21088 are 2, 659. Prime factorization of 21088 in exponential form is:

21088 = 2⁵ × 659¹

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 21088

List of positive integer factors of 21088 that divides 21084 without a remainder.

1, 2, 4, 8, 16, 32, 659, 1318, 2636, 5272, 10544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21084 and 21088. The biggest common factor number is the GCF number.
So the greatest common factor 21084 and 21088 is 4.

Also check out the Least Common Multiple of 21084 and 21088