What is the Greatest Common Factor of 20514 and 20525?

Greatest common factor (GCF) of 20514 and 20525 is 1.

GCF(20514,20525) = 1

We will now calculate the prime factors of 20514 and 20525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20514 and 20525.

How to find the GCF of 20514 and 20525?

We will first find the prime factorization of 20514 and 20525. After we will calculate the factors of 20514 and 20525 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 20525

Prime factors of 20525 are 5, 821. Prime factorization of 20525 in exponential form is:

20525 = 5² × 821¹

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 20525

List of positive integer factors of 20525 that divides 20514 without a remainder.

1, 5, 25, 821, 4105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20514 and 20525. The biggest common factor number is the GCF number.
So the greatest common factor 20514 and 20525 is 1.

Also check out the Least Common Multiple of 20514 and 20525