What is the Greatest Common Factor of 21085 and 21098?

Greatest common factor (GCF) of 21085 and 21098 is 1.

GCF(21085,21098) = 1

We will now calculate the prime factors of 21085 and 21098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21085 and 21098.

How to find the GCF of 21085 and 21098?

We will first find the prime factorization of 21085 and 21098. After we will calculate the factors of 21085 and 21098 and find the biggest common factor number .

Step-1: Prime Factorization of 21085

Prime factors of 21085 are 5, 4217. Prime factorization of 21085 in exponential form is:

21085 = 5¹ × 4217¹

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 21085

List of positive integer factors of 21085 that divides 21085 without a remainder.

1, 5, 4217

Step-4: Factors of 21098

List of positive integer factors of 21098 that divides 21085 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 21085 and 21098. The biggest common factor number is the GCF number.
So the greatest common factor 21085 and 21098 is 1.

Also check out the Least Common Multiple of 21085 and 21098