What is the Greatest Common Factor of 20514 and 20527?

Greatest common factor (GCF) of 20514 and 20527 is 13.

GCF(20514,20527) = 13

We will now calculate the prime factors of 20514 and 20527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20514 and 20527.

How to find the GCF of 20514 and 20527?

We will first find the prime factorization of 20514 and 20527. After we will calculate the factors of 20514 and 20527 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 20527

Prime factors of 20527 are 13, 1579. Prime factorization of 20527 in exponential form is:

20527 = 13¹ × 1579¹

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 20527

List of positive integer factors of 20527 that divides 20514 without a remainder.

1, 13, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20514 and 20527. The biggest common factor number is the GCF number.
So the greatest common factor 20514 and 20527 is 13.

Also check out the Least Common Multiple of 20514 and 20527