What is the Greatest Common Factor of 21938 and 21946?

Greatest common factor (GCF) of 21938 and 21946 is 2.

GCF(21938,21946) = 2

We will now calculate the prime factors of 21938 and 21946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21938 and 21946.

How to find the GCF of 21938 and 21946?

We will first find the prime factorization of 21938 and 21946. After we will calculate the factors of 21938 and 21946 and find the biggest common factor number .

Step-1: Prime Factorization of 21938

Prime factors of 21938 are 2, 7, 1567. Prime factorization of 21938 in exponential form is:

21938 = 2¹ × 7¹ × 1567¹

Step-2: Prime Factorization of 21946

Prime factors of 21946 are 2, 10973. Prime factorization of 21946 in exponential form is:

21946 = 2¹ × 10973¹

Step-3: Factors of 21938

List of positive integer factors of 21938 that divides 21938 without a remainder.

1, 2, 7, 14, 1567, 3134, 10969

Step-4: Factors of 21946

List of positive integer factors of 21946 that divides 21938 without a remainder.

1, 2, 10973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21938 and 21946. The biggest common factor number is the GCF number.
So the greatest common factor 21938 and 21946 is 2.

Also check out the Least Common Multiple of 21938 and 21946