What is the Greatest Common Factor of 21014 and 21022?

Greatest common factor (GCF) of 21014 and 21022 is 2.

GCF(21014,21022) = 2

We will now calculate the prime factors of 21014 and 21022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21014 and 21022.

How to find the GCF of 21014 and 21022?

We will first find the prime factorization of 21014 and 21022. After we will calculate the factors of 21014 and 21022 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 21022

Prime factors of 21022 are 2, 23, 457. Prime factorization of 21022 in exponential form is:

21022 = 2¹ × 23¹ × 457¹

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 21022

List of positive integer factors of 21022 that divides 21014 without a remainder.

1, 2, 23, 46, 457, 914, 10511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21014 and 21022. The biggest common factor number is the GCF number.
So the greatest common factor 21014 and 21022 is 2.

Also check out the Least Common Multiple of 21014 and 21022