What is the Greatest Common Factor of 21416 and 21434?

Greatest common factor (GCF) of 21416 and 21434 is 2.

GCF(21416,21434) = 2

We will now calculate the prime factors of 21416 and 21434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21416 and 21434.

How to find the GCF of 21416 and 21434?

We will first find the prime factorization of 21416 and 21434. After we will calculate the factors of 21416 and 21434 and find the biggest common factor number .

Step-1: Prime Factorization of 21416

Prime factors of 21416 are 2, 2677. Prime factorization of 21416 in exponential form is:

21416 = 2³ × 2677¹

Step-2: 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-3: Factors of 21416

List of positive integer factors of 21416 that divides 21416 without a remainder.

1, 2, 4, 8, 2677, 5354, 10708

Step-4: Factors of 21434

List of positive integer factors of 21434 that divides 21416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21416 and 21434. The biggest common factor number is the GCF number.
So the greatest common factor 21416 and 21434 is 2.

Also check out the Least Common Multiple of 21416 and 21434