What is the Greatest Common Factor of 5434 and 5441?

Greatest common factor (GCF) of 5434 and 5441 is 1.

GCF(5434,5441) = 1

We will now calculate the prime factors of 5434 and 5441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5434 and 5441.

How to find the GCF of 5434 and 5441?

We will first find the prime factorization of 5434 and 5441. After we will calculate the factors of 5434 and 5441 and find the biggest common factor number .

Step-1: Prime Factorization of 5434

Prime factors of 5434 are 2, 11, 13, 19. Prime factorization of 5434 in exponential form is:

5434 = 2¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 5441

Prime factors of 5441 are 5441. Prime factorization of 5441 in exponential form is:

5441 = 5441¹

Step-3: Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717

Step-4: Factors of 5441

List of positive integer factors of 5441 that divides 5434 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5434 and 5441. The biggest common factor number is the GCF number.
So the greatest common factor 5434 and 5441 is 1.

Also check out the Least Common Multiple of 5434 and 5441