What is the Greatest Common Factor of 21737 and 21757?

Greatest common factor (GCF) of 21737 and 21757 is 1.

GCF(21737,21757) = 1

We will now calculate the prime factors of 21737 and 21757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21737 and 21757.

How to find the GCF of 21737 and 21757?

We will first find the prime factorization of 21737 and 21757. After we will calculate the factors of 21737 and 21757 and find the biggest common factor number .

Step-1: Prime Factorization of 21737

Prime factors of 21737 are 21737. Prime factorization of 21737 in exponential form is:

21737 = 21737¹

Step-2: Prime Factorization of 21757

Prime factors of 21757 are 21757. Prime factorization of 21757 in exponential form is:

21757 = 21757¹

Step-3: Factors of 21737

List of positive integer factors of 21737 that divides 21737 without a remainder.

Step-4: Factors of 21757

List of positive integer factors of 21757 that divides 21737 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21737 and 21757. The biggest common factor number is the GCF number.
So the greatest common factor 21737 and 21757 is 1.

Also check out the Least Common Multiple of 21737 and 21757