What is the Greatest Common Factor of 21700 and 21706?

Greatest common factor (GCF) of 21700 and 21706 is 2.

GCF(21700,21706) = 2

We will now calculate the prime factors of 21700 and 21706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21700 and 21706.

How to find the GCF of 21700 and 21706?

We will first find the prime factorization of 21700 and 21706. After we will calculate the factors of 21700 and 21706 and find the biggest common factor number .

Step-1: Prime Factorization of 21700

Prime factors of 21700 are 2, 5, 7, 31. Prime factorization of 21700 in exponential form is:

21700 = 2² × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 21706

Prime factors of 21706 are 2, 10853. Prime factorization of 21706 in exponential form is:

21706 = 2¹ × 10853¹

Step-3: Factors of 21700

List of positive integer factors of 21700 that divides 21700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 31, 35, 50, 62, 70, 100, 124, 140, 155, 175, 217, 310, 350, 434, 620, 700, 775, 868, 1085, 1550, 2170, 3100, 4340, 5425, 10850

Step-4: Factors of 21706

List of positive integer factors of 21706 that divides 21700 without a remainder.

1, 2, 10853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21700 and 21706. The biggest common factor number is the GCF number.
So the greatest common factor 21700 and 21706 is 2.

Also check out the Least Common Multiple of 21700 and 21706