What is the Greatest Common Factor of 55425 and 55430?

Greatest common factor (GCF) of 55425 and 55430 is 5.

GCF(55425,55430) = 5

We will now calculate the prime factors of 55425 and 55430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55425 and 55430.

How to find the GCF of 55425 and 55430?

We will first find the prime factorization of 55425 and 55430. After we will calculate the factors of 55425 and 55430 and find the biggest common factor number .

Step-1: Prime Factorization of 55425

Prime factors of 55425 are 3, 5, 739. Prime factorization of 55425 in exponential form is:

55425 = 3¹ × 5² × 739¹

Step-2: Prime Factorization of 55430

Prime factors of 55430 are 2, 5, 23, 241. Prime factorization of 55430 in exponential form is:

55430 = 2¹ × 5¹ × 23¹ × 241¹

Step-3: Factors of 55425

List of positive integer factors of 55425 that divides 55425 without a remainder.

1, 3, 5, 15, 25, 75, 739, 2217, 3695, 11085, 18475

Step-4: Factors of 55430

List of positive integer factors of 55430 that divides 55425 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 241, 482, 1205, 2410, 5543, 11086, 27715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55425 and 55430. The biggest common factor number is the GCF number.
So the greatest common factor 55425 and 55430 is 5.

Also check out the Least Common Multiple of 55425 and 55430