What is the Greatest Common Factor of 21014 and 21028?

Greatest common factor (GCF) of 21014 and 21028 is 14.

GCF(21014,21028) = 14

We will now calculate the prime factors of 21014 and 21028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21014 and 21028.

How to find the GCF of 21014 and 21028?

We will first find the prime factorization of 21014 and 21028. After we will calculate the factors of 21014 and 21028 and find the biggest common factor number .

Step-1: Prime Factorization of 21014

Prime factors of 21014 are 2, 7, 19, 79. Prime factorization of 21014 in exponential form is:

21014 = 2¹ × 7¹ × 19¹ × 79¹

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 21014

List of positive integer factors of 21014 that divides 21014 without a remainder.

1, 2, 7, 14, 19, 38, 79, 133, 158, 266, 553, 1106, 1501, 3002, 10507

Step-4: Factors of 21028

List of positive integer factors of 21028 that divides 21014 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 21014 and 21028. The biggest common factor number is the GCF number.
So the greatest common factor 21014 and 21028 is 14.

Also check out the Least Common Multiple of 21014 and 21028