What is the Greatest Common Factor of 21462 and 21466?

Greatest common factor (GCF) of 21462 and 21466 is 2.

GCF(21462,21466) = 2

We will now calculate the prime factors of 21462 and 21466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21462 and 21466.

How to find the GCF of 21462 and 21466?

We will first find the prime factorization of 21462 and 21466. After we will calculate the factors of 21462 and 21466 and find the biggest common factor number .

Step-1: Prime Factorization of 21462

Prime factors of 21462 are 2, 3, 7, 73. Prime factorization of 21462 in exponential form is:

21462 = 2¹ × 3¹ × 7² × 73¹

Step-2: Prime Factorization of 21466

Prime factors of 21466 are 2, 10733. Prime factorization of 21466 in exponential form is:

21466 = 2¹ × 10733¹

Step-3: Factors of 21462

List of positive integer factors of 21462 that divides 21462 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438, 511, 1022, 1533, 3066, 3577, 7154, 10731

Step-4: Factors of 21466

List of positive integer factors of 21466 that divides 21462 without a remainder.

1, 2, 10733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21462 and 21466. The biggest common factor number is the GCF number.
So the greatest common factor 21462 and 21466 is 2.

Also check out the Least Common Multiple of 21462 and 21466