What is the Greatest Common Factor of 21703 and 21708?

Greatest common factor (GCF) of 21703 and 21708 is 1.

GCF(21703,21708) = 1

We will now calculate the prime factors of 21703 and 21708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21703 and 21708.

How to find the GCF of 21703 and 21708?

We will first find the prime factorization of 21703 and 21708. After we will calculate the factors of 21703 and 21708 and find the biggest common factor number .

Step-1: Prime Factorization of 21703

Prime factors of 21703 are 11, 1973. Prime factorization of 21703 in exponential form is:

21703 = 11¹ × 1973¹

Step-2: Prime Factorization of 21708

Prime factors of 21708 are 2, 3, 67. Prime factorization of 21708 in exponential form is:

21708 = 2² × 3⁴ × 67¹

Step-3: Factors of 21703

List of positive integer factors of 21703 that divides 21703 without a remainder.

1, 11, 1973

Step-4: Factors of 21708

List of positive integer factors of 21708 that divides 21703 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 81, 108, 134, 162, 201, 268, 324, 402, 603, 804, 1206, 1809, 2412, 3618, 5427, 7236, 10854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21703 and 21708. The biggest common factor number is the GCF number.
So the greatest common factor 21703 and 21708 is 1.

Also check out the Least Common Multiple of 21703 and 21708