What is the Greatest Common Factor of 11457 and 11476?

Greatest common factor (GCF) of 11457 and 11476 is 19.

GCF(11457,11476) = 19

We will now calculate the prime factors of 11457 and 11476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11457 and 11476.

How to find the GCF of 11457 and 11476?

We will first find the prime factorization of 11457 and 11476. After we will calculate the factors of 11457 and 11476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11476

Prime factors of 11476 are 2, 19, 151. Prime factorization of 11476 in exponential form is:

11476 = 2² × 19¹ × 151¹

Step-3: Factors of 11457

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

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

Step-4: Factors of 11476

List of positive integer factors of 11476 that divides 11457 without a remainder.

1, 2, 4, 19, 38, 76, 151, 302, 604, 2869, 5738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11457 and 11476. The biggest common factor number is the GCF number.
So the greatest common factor 11457 and 11476 is 19.

Also check out the Least Common Multiple of 11457 and 11476