What is the Greatest Common Factor of 21680 and 21685?

Greatest common factor (GCF) of 21680 and 21685 is 5.

GCF(21680,21685) = 5

We will now calculate the prime factors of 21680 and 21685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21680 and 21685.

How to find the GCF of 21680 and 21685?

We will first find the prime factorization of 21680 and 21685. After we will calculate the factors of 21680 and 21685 and find the biggest common factor number .

Step-1: Prime Factorization of 21680

Prime factors of 21680 are 2, 5, 271. Prime factorization of 21680 in exponential form is:

21680 = 2⁴ × 5¹ × 271¹

Step-2: Prime Factorization of 21685

Prime factors of 21685 are 5, 4337. Prime factorization of 21685 in exponential form is:

21685 = 5¹ × 4337¹

Step-3: Factors of 21680

List of positive integer factors of 21680 that divides 21680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 271, 542, 1084, 1355, 2168, 2710, 4336, 5420, 10840

Step-4: Factors of 21685

List of positive integer factors of 21685 that divides 21680 without a remainder.

1, 5, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21680 and 21685. The biggest common factor number is the GCF number.
So the greatest common factor 21680 and 21685 is 5.

Also check out the Least Common Multiple of 21680 and 21685