What is the Greatest Common Factor of 20507 and 20519?

Greatest common factor (GCF) of 20507 and 20519 is 1.

GCF(20507,20519) = 1

We will now calculate the prime factors of 20507 and 20519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20507 and 20519.

How to find the GCF of 20507 and 20519?

We will first find the prime factorization of 20507 and 20519. After we will calculate the factors of 20507 and 20519 and find the biggest common factor number .

Step-1: Prime Factorization of 20507

Prime factors of 20507 are 20507. Prime factorization of 20507 in exponential form is:

20507 = 20507¹

Step-2: Prime Factorization of 20519

Prime factors of 20519 are 17, 71. Prime factorization of 20519 in exponential form is:

20519 = 17² × 71¹

Step-3: Factors of 20507

List of positive integer factors of 20507 that divides 20507 without a remainder.

Step-4: Factors of 20519

List of positive integer factors of 20519 that divides 20507 without a remainder.

1, 17, 71, 289, 1207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20507 and 20519. The biggest common factor number is the GCF number.
So the greatest common factor 20507 and 20519 is 1.

Also check out the Least Common Multiple of 20507 and 20519