What is the Greatest Common Factor of 20514 and 20533?

Greatest common factor (GCF) of 20514 and 20533 is 1.

GCF(20514,20533) = 1

We will now calculate the prime factors of 20514 and 20533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20514 and 20533.

How to find the GCF of 20514 and 20533?

We will first find the prime factorization of 20514 and 20533. After we will calculate the factors of 20514 and 20533 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 20533

Prime factors of 20533 are 20533. Prime factorization of 20533 in exponential form is:

20533 = 20533¹

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 20533

List of positive integer factors of 20533 that divides 20514 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20514 and 20533. The biggest common factor number is the GCF number.
So the greatest common factor 20514 and 20533 is 1.

Also check out the Least Common Multiple of 20514 and 20533