What is the Greatest Common Factor of 21779 and 21787?

Greatest common factor (GCF) of 21779 and 21787 is 1.

GCF(21779,21787) = 1

We will now calculate the prime factors of 21779 and 21787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21779 and 21787.

How to find the GCF of 21779 and 21787?

We will first find the prime factorization of 21779 and 21787. After we will calculate the factors of 21779 and 21787 and find the biggest common factor number .

Step-1: Prime Factorization of 21779

Prime factors of 21779 are 29, 751. Prime factorization of 21779 in exponential form is:

21779 = 29¹ × 751¹

Step-2: Prime Factorization of 21787

Prime factors of 21787 are 21787. Prime factorization of 21787 in exponential form is:

21787 = 21787¹

Step-3: Factors of 21779

List of positive integer factors of 21779 that divides 21779 without a remainder.

1, 29, 751

Step-4: Factors of 21787

List of positive integer factors of 21787 that divides 21779 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21779 and 21787. The biggest common factor number is the GCF number.
So the greatest common factor 21779 and 21787 is 1.

Also check out the Least Common Multiple of 21779 and 21787