What is the Greatest Common Factor of 21274 and 21288?

Greatest common factor (GCF) of 21274 and 21288 is 2.

GCF(21274,21288) = 2

We will now calculate the prime factors of 21274 and 21288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21274 and 21288.

How to find the GCF of 21274 and 21288?

We will first find the prime factorization of 21274 and 21288. After we will calculate the factors of 21274 and 21288 and find the biggest common factor number .

Step-1: Prime Factorization of 21274

Prime factors of 21274 are 2, 11, 967. Prime factorization of 21274 in exponential form is:

21274 = 2¹ × 11¹ × 967¹

Step-2: Prime Factorization of 21288

Prime factors of 21288 are 2, 3, 887. Prime factorization of 21288 in exponential form is:

21288 = 2³ × 3¹ × 887¹

Step-3: Factors of 21274

List of positive integer factors of 21274 that divides 21274 without a remainder.

1, 2, 11, 22, 967, 1934, 10637

Step-4: Factors of 21288

List of positive integer factors of 21288 that divides 21274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 887, 1774, 2661, 3548, 5322, 7096, 10644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21274 and 21288. The biggest common factor number is the GCF number.
So the greatest common factor 21274 and 21288 is 2.

Also check out the Least Common Multiple of 21274 and 21288