What is the Greatest Common Factor of 20514 and 20526?

Greatest common factor (GCF) of 20514 and 20526 is 6.

GCF(20514,20526) = 6

We will now calculate the prime factors of 20514 and 20526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20514 and 20526.

How to find the GCF of 20514 and 20526?

We will first find the prime factorization of 20514 and 20526. After we will calculate the factors of 20514 and 20526 and find the biggest common factor number .

Step-1: Prime Factorization of 20514

Prime factors of 20514 are 2, 3, 13, 263. Prime factorization of 20514 in exponential form is:

20514 = 2¹ × 3¹ × 13¹ × 263¹

Step-2: Prime Factorization of 20526

Prime factors of 20526 are 2, 3, 11, 311. Prime factorization of 20526 in exponential form is:

20526 = 2¹ × 3¹ × 11¹ × 311¹

Step-3: Factors of 20514

List of positive integer factors of 20514 that divides 20514 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 263, 526, 789, 1578, 3419, 6838, 10257

Step-4: Factors of 20526

List of positive integer factors of 20526 that divides 20514 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 311, 622, 933, 1866, 3421, 6842, 10263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20514 and 20526. The biggest common factor number is the GCF number.
So the greatest common factor 20514 and 20526 is 6.

Also check out the Least Common Multiple of 20514 and 20526