What is the Greatest Common Factor of 54418 and 54425?

Greatest common factor (GCF) of 54418 and 54425 is 7.

GCF(54418,54425) = 7

We will now calculate the prime factors of 54418 and 54425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54418 and 54425.

How to find the GCF of 54418 and 54425?

We will first find the prime factorization of 54418 and 54425. After we will calculate the factors of 54418 and 54425 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 54425

Prime factors of 54425 are 5, 7, 311. Prime factorization of 54425 in exponential form is:

54425 = 5² × 7¹ × 311¹

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 54425

List of positive integer factors of 54425 that divides 54418 without a remainder.

1, 5, 7, 25, 35, 175, 311, 1555, 2177, 7775, 10885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54418 and 54425. The biggest common factor number is the GCF number.
So the greatest common factor 54418 and 54425 is 7.

Also check out the Least Common Multiple of 54418 and 54425