What is the Greatest Common Factor of 21695 and 21708?

Greatest common factor (GCF) of 21695 and 21708 is 1.

GCF(21695,21708) = 1

We will now calculate the prime factors of 21695 and 21708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21695 and 21708.

How to find the GCF of 21695 and 21708?

We will first find the prime factorization of 21695 and 21708. After we will calculate the factors of 21695 and 21708 and find the biggest common factor number .

Step-1: Prime Factorization of 21695

Prime factors of 21695 are 5, 4339. Prime factorization of 21695 in exponential form is:

21695 = 5¹ × 4339¹

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 21695

List of positive integer factors of 21695 that divides 21695 without a remainder.

1, 5, 4339

Step-4: Factors of 21708

List of positive integer factors of 21708 that divides 21695 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 21695 and 21708. The biggest common factor number is the GCF number.
So the greatest common factor 21695 and 21708 is 1.

Also check out the Least Common Multiple of 21695 and 21708