What is the Greatest Common Factor of 21954 and 21974?

Greatest common factor (GCF) of 21954 and 21974 is 2.

GCF(21954,21974) = 2

We will now calculate the prime factors of 21954 and 21974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21954 and 21974.

How to find the GCF of 21954 and 21974?

We will first find the prime factorization of 21954 and 21974. After we will calculate the factors of 21954 and 21974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21974

Prime factors of 21974 are 2, 10987. Prime factorization of 21974 in exponential form is:

21974 = 2¹ × 10987¹

Step-3: Factors of 21954

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

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

Step-4: Factors of 21974

List of positive integer factors of 21974 that divides 21954 without a remainder.

1, 2, 10987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21954 and 21974. The biggest common factor number is the GCF number.
So the greatest common factor 21954 and 21974 is 2.

Also check out the Least Common Multiple of 21954 and 21974