What is the Greatest Common Factor of 21124 and 21128?

Greatest common factor (GCF) of 21124 and 21128 is 4.

GCF(21124,21128) = 4

We will now calculate the prime factors of 21124 and 21128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21124 and 21128.

How to find the GCF of 21124 and 21128?

We will first find the prime factorization of 21124 and 21128. After we will calculate the factors of 21124 and 21128 and find the biggest common factor number .

Step-1: Prime Factorization of 21124

Prime factors of 21124 are 2, 5281. Prime factorization of 21124 in exponential form is:

21124 = 2² × 5281¹

Step-2: Prime Factorization of 21128

Prime factors of 21128 are 2, 19, 139. Prime factorization of 21128 in exponential form is:

21128 = 2³ × 19¹ × 139¹

Step-3: Factors of 21124

List of positive integer factors of 21124 that divides 21124 without a remainder.

1, 2, 4, 5281, 10562

Step-4: Factors of 21128

List of positive integer factors of 21128 that divides 21124 without a remainder.

1, 2, 4, 8, 19, 38, 76, 139, 152, 278, 556, 1112, 2641, 5282, 10564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21124 and 21128. The biggest common factor number is the GCF number.
So the greatest common factor 21124 and 21128 is 4.

Also check out the Least Common Multiple of 21124 and 21128