What is the Greatest Common Factor of 54418 and 54431?

Greatest common factor (GCF) of 54418 and 54431 is 13.

GCF(54418,54431) = 13

We will now calculate the prime factors of 54418 and 54431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54418 and 54431.

How to find the GCF of 54418 and 54431?

We will first find the prime factorization of 54418 and 54431. After we will calculate the factors of 54418 and 54431 and find the biggest common factor number .

Step-1: Prime Factorization of 54418

Prime factors of 54418 are 2, 7, 13, 23. Prime factorization of 54418 in exponential form is:

54418 = 2¹ × 7¹ × 13² × 23¹

Step-2: Prime Factorization of 54431

Prime factors of 54431 are 13, 53, 79. Prime factorization of 54431 in exponential form is:

54431 = 13¹ × 53¹ × 79¹

Step-3: Factors of 54418

List of positive integer factors of 54418 that divides 54418 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 169, 182, 299, 322, 338, 598, 1183, 2093, 2366, 3887, 4186, 7774, 27209

Step-4: Factors of 54431

List of positive integer factors of 54431 that divides 54418 without a remainder.

1, 13, 53, 79, 689, 1027, 4187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54418 and 54431. The biggest common factor number is the GCF number.
So the greatest common factor 54418 and 54431 is 13.

Also check out the Least Common Multiple of 54418 and 54431