What is the Greatest Common Factor of 21048 and 21064?

Greatest common factor (GCF) of 21048 and 21064 is 8.

GCF(21048,21064) = 8

We will now calculate the prime factors of 21048 and 21064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21048 and 21064.

How to find the GCF of 21048 and 21064?

We will first find the prime factorization of 21048 and 21064. After we will calculate the factors of 21048 and 21064 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 21064

Prime factors of 21064 are 2, 2633. Prime factorization of 21064 in exponential form is:

21064 = 2³ × 2633¹

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 21064

List of positive integer factors of 21064 that divides 21048 without a remainder.

1, 2, 4, 8, 2633, 5266, 10532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21048 and 21064. The biggest common factor number is the GCF number.
So the greatest common factor 21048 and 21064 is 8.

Also check out the Least Common Multiple of 21048 and 21064