What is the Greatest Common Factor of 20659 and 20677?

Greatest common factor (GCF) of 20659 and 20677 is 1.

GCF(20659,20677) = 1

We will now calculate the prime factors of 20659 and 20677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20659 and 20677.

How to find the GCF of 20659 and 20677?

We will first find the prime factorization of 20659 and 20677. After we will calculate the factors of 20659 and 20677 and find the biggest common factor number .

Step-1: Prime Factorization of 20659

Prime factors of 20659 are 73, 283. Prime factorization of 20659 in exponential form is:

20659 = 73¹ × 283¹

Step-2: Prime Factorization of 20677

Prime factors of 20677 are 23, 29, 31. Prime factorization of 20677 in exponential form is:

20677 = 23¹ × 29¹ × 31¹

Step-3: Factors of 20659

List of positive integer factors of 20659 that divides 20659 without a remainder.

1, 73, 283

Step-4: Factors of 20677

List of positive integer factors of 20677 that divides 20659 without a remainder.

1, 23, 29, 31, 667, 713, 899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20659 and 20677. The biggest common factor number is the GCF number.
So the greatest common factor 20659 and 20677 is 1.

Also check out the Least Common Multiple of 20659 and 20677