What is the Greatest Common Factor of 21785 and 21795?

Greatest common factor (GCF) of 21785 and 21795 is 5.

GCF(21785,21795) = 5

We will now calculate the prime factors of 21785 and 21795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21785 and 21795.

How to find the GCF of 21785 and 21795?

We will first find the prime factorization of 21785 and 21795. After we will calculate the factors of 21785 and 21795 and find the biggest common factor number .

Step-1: Prime Factorization of 21785

Prime factors of 21785 are 5, 4357. Prime factorization of 21785 in exponential form is:

21785 = 5¹ × 4357¹

Step-2: Prime Factorization of 21795

Prime factors of 21795 are 3, 5, 1453. Prime factorization of 21795 in exponential form is:

21795 = 3¹ × 5¹ × 1453¹

Step-3: Factors of 21785

List of positive integer factors of 21785 that divides 21785 without a remainder.

1, 5, 4357

Step-4: Factors of 21795

List of positive integer factors of 21795 that divides 21785 without a remainder.

1, 3, 5, 15, 1453, 4359, 7265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21785 and 21795. The biggest common factor number is the GCF number.
So the greatest common factor 21785 and 21795 is 5.

Also check out the Least Common Multiple of 21785 and 21795