What is the Greatest Common Factor of 21048 and 21062?

Greatest common factor (GCF) of 21048 and 21062 is 2.

GCF(21048,21062) = 2

We will now calculate the prime factors of 21048 and 21062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21048 and 21062.

How to find the GCF of 21048 and 21062?

We will first find the prime factorization of 21048 and 21062. After we will calculate the factors of 21048 and 21062 and find the biggest common factor number .

Step-1: Prime Factorization of 21048

Prime factors of 21048 are 2, 3, 877. Prime factorization of 21048 in exponential form is:

21048 = 2³ × 3¹ × 877¹

Step-2: Prime Factorization of 21062

Prime factors of 21062 are 2, 10531. Prime factorization of 21062 in exponential form is:

21062 = 2¹ × 10531¹

Step-3: Factors of 21048

List of positive integer factors of 21048 that divides 21048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 877, 1754, 2631, 3508, 5262, 7016, 10524

Step-4: Factors of 21062

List of positive integer factors of 21062 that divides 21048 without a remainder.

1, 2, 10531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21048 and 21062. The biggest common factor number is the GCF number.
So the greatest common factor 21048 and 21062 is 2.

Also check out the Least Common Multiple of 21048 and 21062