What is the Greatest Common Factor of 21690 and 21710?

Greatest common factor (GCF) of 21690 and 21710 is 10.

GCF(21690,21710) = 10

We will now calculate the prime factors of 21690 and 21710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21690 and 21710.

How to find the GCF of 21690 and 21710?

We will first find the prime factorization of 21690 and 21710. After we will calculate the factors of 21690 and 21710 and find the biggest common factor number .

Step-1: Prime Factorization of 21690

Prime factors of 21690 are 2, 3, 5, 241. Prime factorization of 21690 in exponential form is:

21690 = 2¹ × 3² × 5¹ × 241¹

Step-2: Prime Factorization of 21710

Prime factors of 21710 are 2, 5, 13, 167. Prime factorization of 21710 in exponential form is:

21710 = 2¹ × 5¹ × 13¹ × 167¹

Step-3: Factors of 21690

List of positive integer factors of 21690 that divides 21690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 241, 482, 723, 1205, 1446, 2169, 2410, 3615, 4338, 7230, 10845

Step-4: Factors of 21710

List of positive integer factors of 21710 that divides 21690 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 167, 334, 835, 1670, 2171, 4342, 10855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21690 and 21710. The biggest common factor number is the GCF number.
So the greatest common factor 21690 and 21710 is 10.

Also check out the Least Common Multiple of 21690 and 21710