What is the Greatest Common Factor of 11457 and 11463?

Greatest common factor (GCF) of 11457 and 11463 is 3.

GCF(11457,11463) = 3

We will now calculate the prime factors of 11457 and 11463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11457 and 11463.

How to find the GCF of 11457 and 11463?

We will first find the prime factorization of 11457 and 11463. After we will calculate the factors of 11457 and 11463 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 11463

Prime factors of 11463 are 3, 3821. Prime factorization of 11463 in exponential form is:

11463 = 3¹ × 3821¹

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 11463

List of positive integer factors of 11463 that divides 11457 without a remainder.

1, 3, 3821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11457 and 11463. The biggest common factor number is the GCF number.
So the greatest common factor 11457 and 11463 is 3.

Also check out the Least Common Multiple of 11457 and 11463