What is the Greatest Common Factor of 21640 and 21655?

Greatest common factor (GCF) of 21640 and 21655 is 5.

GCF(21640,21655) = 5

We will now calculate the prime factors of 21640 and 21655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21640 and 21655.

How to find the GCF of 21640 and 21655?

We will first find the prime factorization of 21640 and 21655. After we will calculate the factors of 21640 and 21655 and find the biggest common factor number .

Step-1: Prime Factorization of 21640

Prime factors of 21640 are 2, 5, 541. Prime factorization of 21640 in exponential form is:

21640 = 2³ × 5¹ × 541¹

Step-2: Prime Factorization of 21655

Prime factors of 21655 are 5, 61, 71. Prime factorization of 21655 in exponential form is:

21655 = 5¹ × 61¹ × 71¹

Step-3: Factors of 21640

List of positive integer factors of 21640 that divides 21640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 541, 1082, 2164, 2705, 4328, 5410, 10820

Step-4: Factors of 21655

List of positive integer factors of 21655 that divides 21640 without a remainder.

1, 5, 61, 71, 305, 355, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21640 and 21655. The biggest common factor number is the GCF number.
So the greatest common factor 21640 and 21655 is 5.

Also check out the Least Common Multiple of 21640 and 21655