What is the Greatest Common Factor of 5422 and 5434?

Greatest common factor (GCF) of 5422 and 5434 is 2.

GCF(5422,5434) = 2

We will now calculate the prime factors of 5422 and 5434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5422 and 5434.

How to find the GCF of 5422 and 5434?

We will first find the prime factorization of 5422 and 5434. After we will calculate the factors of 5422 and 5434 and find the biggest common factor number .

Step-1: Prime Factorization of 5422

Prime factors of 5422 are 2, 2711. Prime factorization of 5422 in exponential form is:

5422 = 2¹ × 2711¹

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 5422

List of positive integer factors of 5422 that divides 5422 without a remainder.

1, 2, 2711

Step-4: Factors of 5434

List of positive integer factors of 5434 that divides 5422 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 5422 and 5434. The biggest common factor number is the GCF number.
So the greatest common factor 5422 and 5434 is 2.

Also check out the Least Common Multiple of 5422 and 5434