What is the Greatest Common Factor of 20998 and 21018?

Greatest common factor (GCF) of 20998 and 21018 is 2.

GCF(20998,21018) = 2

We will now calculate the prime factors of 20998 and 21018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20998 and 21018.

How to find the GCF of 20998 and 21018?

We will first find the prime factorization of 20998 and 21018. After we will calculate the factors of 20998 and 21018 and find the biggest common factor number .

Step-1: Prime Factorization of 20998

Prime factors of 20998 are 2, 10499. Prime factorization of 20998 in exponential form is:

20998 = 2¹ × 10499¹

Step-2: Prime Factorization of 21018

Prime factors of 21018 are 2, 3, 31, 113. Prime factorization of 21018 in exponential form is:

21018 = 2¹ × 3¹ × 31¹ × 113¹

Step-3: Factors of 20998

List of positive integer factors of 20998 that divides 20998 without a remainder.

1, 2, 10499

Step-4: Factors of 21018

List of positive integer factors of 21018 that divides 20998 without a remainder.

1, 2, 3, 6, 31, 62, 93, 113, 186, 226, 339, 678, 3503, 7006, 10509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20998 and 21018. The biggest common factor number is the GCF number.
So the greatest common factor 20998 and 21018 is 2.

Also check out the Least Common Multiple of 20998 and 21018