What is the Greatest Common Factor of 5419 and 5434?

Greatest common factor (GCF) of 5419 and 5434 is 1.

GCF(5419,5434) = 1

We will now calculate the prime factors of 5419 and 5434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5419 and 5434.

How to find the GCF of 5419 and 5434?

We will first find the prime factorization of 5419 and 5434. After we will calculate the factors of 5419 and 5434 and find the biggest common factor number .

Step-1: Prime Factorization of 5419

Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:

5419 = 5419¹

Step-2: 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-3: Factors of 5419

List of positive integer factors of 5419 that divides 5419 without a remainder.

Step-4: Factors of 5434

List of positive integer factors of 5434 that divides 5419 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5419 and 5434. The biggest common factor number is the GCF number.
So the greatest common factor 5419 and 5434 is 1.

Also check out the Least Common Multiple of 5419 and 5434