What is the Greatest Common Factor of 21711 and 21725?

Greatest common factor (GCF) of 21711 and 21725 is 1.

GCF(21711,21725) = 1

We will now calculate the prime factors of 21711 and 21725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21711 and 21725.

How to find the GCF of 21711 and 21725?

We will first find the prime factorization of 21711 and 21725. After we will calculate the factors of 21711 and 21725 and find the biggest common factor number .

Step-1: Prime Factorization of 21711

Prime factors of 21711 are 3, 7237. Prime factorization of 21711 in exponential form is:

21711 = 3¹ × 7237¹

Step-2: Prime Factorization of 21725

Prime factors of 21725 are 5, 11, 79. Prime factorization of 21725 in exponential form is:

21725 = 5² × 11¹ × 79¹

Step-3: Factors of 21711

List of positive integer factors of 21711 that divides 21711 without a remainder.

1, 3, 7237

Step-4: Factors of 21725

List of positive integer factors of 21725 that divides 21711 without a remainder.

1, 5, 11, 25, 55, 79, 275, 395, 869, 1975, 4345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21711 and 21725. The biggest common factor number is the GCF number.
So the greatest common factor 21711 and 21725 is 1.

Also check out the Least Common Multiple of 21711 and 21725