What is the Greatest Common Factor of 21434 and 21442?

Greatest common factor (GCF) of 21434 and 21442 is 2.

GCF(21434,21442) = 2

We will now calculate the prime factors of 21434 and 21442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21434 and 21442.

How to find the GCF of 21434 and 21442?

We will first find the prime factorization of 21434 and 21442. After we will calculate the factors of 21434 and 21442 and find the biggest common factor number .

Step-1: Prime Factorization of 21434

Prime factors of 21434 are 2, 7, 1531. Prime factorization of 21434 in exponential form is:

21434 = 2¹ × 7¹ × 1531¹

Step-2: Prime Factorization of 21442

Prime factors of 21442 are 2, 71, 151. Prime factorization of 21442 in exponential form is:

21442 = 2¹ × 71¹ × 151¹

Step-3: Factors of 21434

List of positive integer factors of 21434 that divides 21434 without a remainder.

1, 2, 7, 14, 1531, 3062, 10717

Step-4: Factors of 21442

List of positive integer factors of 21442 that divides 21434 without a remainder.

1, 2, 71, 142, 151, 302, 10721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21434 and 21442. The biggest common factor number is the GCF number.
So the greatest common factor 21434 and 21442 is 2.

Also check out the Least Common Multiple of 21434 and 21442