What is the Greatest Common Factor of 21434 and 21448?

Greatest common factor (GCF) of 21434 and 21448 is 14.

GCF(21434,21448) = 14

We will now calculate the prime factors of 21434 and 21448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21434 and 21448.

How to find the GCF of 21434 and 21448?

We will first find the prime factorization of 21434 and 21448. After we will calculate the factors of 21434 and 21448 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 21448

Prime factors of 21448 are 2, 7, 383. Prime factorization of 21448 in exponential form is:

21448 = 2³ × 7¹ × 383¹

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 21448

List of positive integer factors of 21448 that divides 21434 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 383, 766, 1532, 2681, 3064, 5362, 10724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21434 and 21448. The biggest common factor number is the GCF number.
So the greatest common factor 21434 and 21448 is 14.

Also check out the Least Common Multiple of 21434 and 21448