What is the Greatest Common Factor of 21098 and 21113?

Greatest common factor (GCF) of 21098 and 21113 is 1.

GCF(21098,21113) = 1

We will now calculate the prime factors of 21098 and 21113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21098 and 21113.

How to find the GCF of 21098 and 21113?

We will first find the prime factorization of 21098 and 21113. After we will calculate the factors of 21098 and 21113 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21113

Prime factors of 21113 are 43, 491. Prime factorization of 21113 in exponential form is:

21113 = 43¹ × 491¹

Step-3: Factors of 21098

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

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

Step-4: Factors of 21113

List of positive integer factors of 21113 that divides 21098 without a remainder.

1, 43, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21098 and 21113. The biggest common factor number is the GCF number.
So the greatest common factor 21098 and 21113 is 1.

Also check out the Least Common Multiple of 21098 and 21113