What is the Greatest Common Factor of 21749 and 21755?

Greatest common factor (GCF) of 21749 and 21755 is 1.

GCF(21749,21755) = 1

We will now calculate the prime factors of 21749 and 21755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21749 and 21755.

How to find the GCF of 21749 and 21755?

We will first find the prime factorization of 21749 and 21755. After we will calculate the factors of 21749 and 21755 and find the biggest common factor number .

Step-1: Prime Factorization of 21749

Prime factors of 21749 are 7, 13, 239. Prime factorization of 21749 in exponential form is:

21749 = 7¹ × 13¹ × 239¹

Step-2: Prime Factorization of 21755

Prime factors of 21755 are 5, 19, 229. Prime factorization of 21755 in exponential form is:

21755 = 5¹ × 19¹ × 229¹

Step-3: Factors of 21749

List of positive integer factors of 21749 that divides 21749 without a remainder.

1, 7, 13, 91, 239, 1673, 3107

Step-4: Factors of 21755

List of positive integer factors of 21755 that divides 21749 without a remainder.

1, 5, 19, 95, 229, 1145, 4351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21749 and 21755. The biggest common factor number is the GCF number.
So the greatest common factor 21749 and 21755 is 1.

Also check out the Least Common Multiple of 21749 and 21755