What is the Greatest Common Factor of 21598 and 21603?

Greatest common factor (GCF) of 21598 and 21603 is 1.

GCF(21598,21603) = 1

We will now calculate the prime factors of 21598 and 21603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21598 and 21603.

How to find the GCF of 21598 and 21603?

We will first find the prime factorization of 21598 and 21603. After we will calculate the factors of 21598 and 21603 and find the biggest common factor number .

Step-1: Prime Factorization of 21598

Prime factors of 21598 are 2, 10799. Prime factorization of 21598 in exponential form is:

21598 = 2¹ × 10799¹

Step-2: Prime Factorization of 21603

Prime factors of 21603 are 3, 19, 379. Prime factorization of 21603 in exponential form is:

21603 = 3¹ × 19¹ × 379¹

Step-3: Factors of 21598

List of positive integer factors of 21598 that divides 21598 without a remainder.

1, 2, 10799

Step-4: Factors of 21603

List of positive integer factors of 21603 that divides 21598 without a remainder.

1, 3, 19, 57, 379, 1137, 7201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21598 and 21603. The biggest common factor number is the GCF number.
So the greatest common factor 21598 and 21603 is 1.

Also check out the Least Common Multiple of 21598 and 21603