What is the Greatest Common Factor of 20719 and 20737?

Greatest common factor (GCF) of 20719 and 20737 is 1.

GCF(20719,20737) = 1

We will now calculate the prime factors of 20719 and 20737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20719 and 20737.

How to find the GCF of 20719 and 20737?

We will first find the prime factorization of 20719 and 20737. After we will calculate the factors of 20719 and 20737 and find the biggest common factor number .

Step-1: Prime Factorization of 20719

Prime factors of 20719 are 20719. Prime factorization of 20719 in exponential form is:

20719 = 20719¹

Step-2: Prime Factorization of 20737

Prime factors of 20737 are 89, 233. Prime factorization of 20737 in exponential form is:

20737 = 89¹ × 233¹

Step-3: Factors of 20719

List of positive integer factors of 20719 that divides 20719 without a remainder.

Step-4: Factors of 20737

List of positive integer factors of 20737 that divides 20719 without a remainder.

1, 89, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20719 and 20737. The biggest common factor number is the GCF number.
So the greatest common factor 20719 and 20737 is 1.

Also check out the Least Common Multiple of 20719 and 20737