What is the Greatest Common Factor of 21008 and 21028?

Greatest common factor (GCF) of 21008 and 21028 is 4.

GCF(21008,21028) = 4

We will now calculate the prime factors of 21008 and 21028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21008 and 21028.

How to find the GCF of 21008 and 21028?

We will first find the prime factorization of 21008 and 21028. After we will calculate the factors of 21008 and 21028 and find the biggest common factor number .

Step-1: Prime Factorization of 21008

Prime factors of 21008 are 2, 13, 101. Prime factorization of 21008 in exponential form is:

21008 = 2⁴ × 13¹ × 101¹

Step-2: Prime Factorization of 21028

Prime factors of 21028 are 2, 7, 751. Prime factorization of 21028 in exponential form is:

21028 = 2² × 7¹ × 751¹

Step-3: Factors of 21008

List of positive integer factors of 21008 that divides 21008 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 101, 104, 202, 208, 404, 808, 1313, 1616, 2626, 5252, 10504

Step-4: Factors of 21028

List of positive integer factors of 21028 that divides 21008 without a remainder.

1, 2, 4, 7, 14, 28, 751, 1502, 3004, 5257, 10514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21008 and 21028. The biggest common factor number is the GCF number.
So the greatest common factor 21008 and 21028 is 4.

Also check out the Least Common Multiple of 21008 and 21028