What is the Greatest Common Factor of 21946 and 21954?

Greatest common factor (GCF) of 21946 and 21954 is 2.

GCF(21946,21954) = 2

We will now calculate the prime factors of 21946 and 21954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21946 and 21954.

How to find the GCF of 21946 and 21954?

We will first find the prime factorization of 21946 and 21954. After we will calculate the factors of 21946 and 21954 and find the biggest common factor number .

Step-1: Prime Factorization of 21946

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

21946 = 2¹ × 10973¹

Step-2: Prime Factorization of 21954

Prime factors of 21954 are 2, 3, 3659. Prime factorization of 21954 in exponential form is:

21954 = 2¹ × 3¹ × 3659¹

Step-3: Factors of 21946

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

1, 2, 10973

Step-4: Factors of 21954

List of positive integer factors of 21954 that divides 21946 without a remainder.

1, 2, 3, 6, 3659, 7318, 10977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21946 and 21954. The biggest common factor number is the GCF number.
So the greatest common factor 21946 and 21954 is 2.

Also check out the Least Common Multiple of 21946 and 21954