What is the Greatest Common Factor of 27434 and 27442?

Greatest common factor (GCF) of 27434 and 27442 is 2.

GCF(27434,27442) = 2

We will now calculate the prime factors of 27434 and 27442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27434 and 27442.

How to find the GCF of 27434 and 27442?

We will first find the prime factorization of 27434 and 27442. After we will calculate the factors of 27434 and 27442 and find the biggest common factor number .

Step-1: Prime Factorization of 27434

Prime factors of 27434 are 2, 11, 29, 43. Prime factorization of 27434 in exponential form is:

27434 = 2¹ × 11¹ × 29¹ × 43¹

Step-2: Prime Factorization of 27442

Prime factors of 27442 are 2, 13721. Prime factorization of 27442 in exponential form is:

27442 = 2¹ × 13721¹

Step-3: Factors of 27434

List of positive integer factors of 27434 that divides 27434 without a remainder.

1, 2, 11, 22, 29, 43, 58, 86, 319, 473, 638, 946, 1247, 2494, 13717

Step-4: Factors of 27442

List of positive integer factors of 27442 that divides 27434 without a remainder.

1, 2, 13721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27434 and 27442. The biggest common factor number is the GCF number.
So the greatest common factor 27434 and 27442 is 2.

Also check out the Least Common Multiple of 27434 and 27442