What is the Greatest Common Factor of 21138 and 21152?

Greatest common factor (GCF) of 21138 and 21152 is 2.

GCF(21138,21152) = 2

We will now calculate the prime factors of 21138 and 21152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21138 and 21152.

How to find the GCF of 21138 and 21152?

We will first find the prime factorization of 21138 and 21152. After we will calculate the factors of 21138 and 21152 and find the biggest common factor number .

Step-1: Prime Factorization of 21138

Prime factors of 21138 are 2, 3, 13, 271. Prime factorization of 21138 in exponential form is:

21138 = 2¹ × 3¹ × 13¹ × 271¹

Step-2: Prime Factorization of 21152

Prime factors of 21152 are 2, 661. Prime factorization of 21152 in exponential form is:

21152 = 2⁵ × 661¹

Step-3: Factors of 21138

List of positive integer factors of 21138 that divides 21138 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 271, 542, 813, 1626, 3523, 7046, 10569

Step-4: Factors of 21152

List of positive integer factors of 21152 that divides 21138 without a remainder.

1, 2, 4, 8, 16, 32, 661, 1322, 2644, 5288, 10576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21138 and 21152. The biggest common factor number is the GCF number.
So the greatest common factor 21138 and 21152 is 2.

Also check out the Least Common Multiple of 21138 and 21152