What is the Greatest Common Factor of 11438 and 11446?

Greatest common factor (GCF) of 11438 and 11446 is 2.

GCF(11438,11446) = 2

We will now calculate the prime factors of 11438 and 11446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11438 and 11446.

How to find the GCF of 11438 and 11446?

We will first find the prime factorization of 11438 and 11446. After we will calculate the factors of 11438 and 11446 and find the biggest common factor number .

Step-1: Prime Factorization of 11438

Prime factors of 11438 are 2, 7, 19, 43. Prime factorization of 11438 in exponential form is:

11438 = 2¹ × 7¹ × 19¹ × 43¹

Step-2: Prime Factorization of 11446

Prime factors of 11446 are 2, 59, 97. Prime factorization of 11446 in exponential form is:

11446 = 2¹ × 59¹ × 97¹

Step-3: Factors of 11438

List of positive integer factors of 11438 that divides 11438 without a remainder.

1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719

Step-4: Factors of 11446

List of positive integer factors of 11446 that divides 11438 without a remainder.

1, 2, 59, 97, 118, 194, 5723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11438 and 11446. The biggest common factor number is the GCF number.
So the greatest common factor 11438 and 11446 is 2.

Also check out the Least Common Multiple of 11438 and 11446