What is the Greatest Common Factor of 20938 and 20958?

Greatest common factor (GCF) of 20938 and 20958 is 2.

GCF(20938,20958) = 2

We will now calculate the prime factors of 20938 and 20958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20938 and 20958.

How to find the GCF of 20938 and 20958?

We will first find the prime factorization of 20938 and 20958. After we will calculate the factors of 20938 and 20958 and find the biggest common factor number .

Step-1: Prime Factorization of 20938

Prime factors of 20938 are 2, 19, 29. Prime factorization of 20938 in exponential form is:

20938 = 2¹ × 19² × 29¹

Step-2: Prime Factorization of 20958

Prime factors of 20958 are 2, 3, 7, 499. Prime factorization of 20958 in exponential form is:

20958 = 2¹ × 3¹ × 7¹ × 499¹

Step-3: Factors of 20938

List of positive integer factors of 20938 that divides 20938 without a remainder.

1, 2, 19, 29, 38, 58, 361, 551, 722, 1102, 10469

Step-4: Factors of 20958

List of positive integer factors of 20958 that divides 20938 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 499, 998, 1497, 2994, 3493, 6986, 10479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20938 and 20958. The biggest common factor number is the GCF number.
So the greatest common factor 20938 and 20958 is 2.

Also check out the Least Common Multiple of 20938 and 20958