What is the Greatest Common Factor of 11438 and 11457?

Greatest common factor (GCF) of 11438 and 11457 is 19.

GCF(11438,11457) = 19

We will now calculate the prime factors of 11438 and 11457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11438 and 11457.

How to find the GCF of 11438 and 11457?

We will first find the prime factorization of 11438 and 11457. After we will calculate the factors of 11438 and 11457 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 11457

Prime factors of 11457 are 3, 19, 67. Prime factorization of 11457 in exponential form is:

11457 = 3² × 19¹ × 67¹

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 11457

List of positive integer factors of 11457 that divides 11438 without a remainder.

1, 3, 9, 19, 57, 67, 171, 201, 603, 1273, 3819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11438 and 11457. The biggest common factor number is the GCF number.
So the greatest common factor 11438 and 11457 is 19.

Also check out the Least Common Multiple of 11438 and 11457