What is the Greatest Common Factor of 21016 and 21028?

Greatest common factor (GCF) of 21016 and 21028 is 4.

GCF(21016,21028) = 4

We will now calculate the prime factors of 21016 and 21028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21016 and 21028.

How to find the GCF of 21016 and 21028?

We will first find the prime factorization of 21016 and 21028. After we will calculate the factors of 21016 and 21028 and find the biggest common factor number .

Step-1: Prime Factorization of 21016

Prime factors of 21016 are 2, 37, 71. Prime factorization of 21016 in exponential form is:

21016 = 2³ × 37¹ × 71¹

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 21016

List of positive integer factors of 21016 that divides 21016 without a remainder.

1, 2, 4, 8, 37, 71, 74, 142, 148, 284, 296, 568, 2627, 5254, 10508

Step-4: Factors of 21028

List of positive integer factors of 21028 that divides 21016 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 21016 and 21028. The biggest common factor number is the GCF number.
So the greatest common factor 21016 and 21028 is 4.

Also check out the Least Common Multiple of 21016 and 21028