What is the Greatest Common Factor of 21084 and 21098?

Greatest common factor (GCF) of 21084 and 21098 is 14.

GCF(21084,21098) = 14

We will now calculate the prime factors of 21084 and 21098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21084 and 21098.

How to find the GCF of 21084 and 21098?

We will first find the prime factorization of 21084 and 21098. After we will calculate the factors of 21084 and 21098 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 21098

Prime factors of 21098 are 2, 7, 11, 137. Prime factorization of 21098 in exponential form is:

21098 = 2¹ × 7¹ × 11¹ × 137¹

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 21098

List of positive integer factors of 21098 that divides 21084 without a remainder.

1, 2, 7, 11, 14, 22, 77, 137, 154, 274, 959, 1507, 1918, 3014, 10549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21084 and 21098. The biggest common factor number is the GCF number.
So the greatest common factor 21084 and 21098 is 14.

Also check out the Least Common Multiple of 21084 and 21098