What is the Greatest Common Factor of 55410 and 55430?

Greatest common factor (GCF) of 55410 and 55430 is 10.

GCF(55410,55430) = 10

We will now calculate the prime factors of 55410 and 55430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55410 and 55430.

How to find the GCF of 55410 and 55430?

We will first find the prime factorization of 55410 and 55430. After we will calculate the factors of 55410 and 55430 and find the biggest common factor number .

Step-1: Prime Factorization of 55410

Prime factors of 55410 are 2, 3, 5, 1847. Prime factorization of 55410 in exponential form is:

55410 = 2¹ × 3¹ × 5¹ × 1847¹

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 55410

List of positive integer factors of 55410 that divides 55410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1847, 3694, 5541, 9235, 11082, 18470, 27705

Step-4: Factors of 55430

List of positive integer factors of 55430 that divides 55410 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 55410 and 55430. The biggest common factor number is the GCF number.
So the greatest common factor 55410 and 55430 is 10.

Also check out the Least Common Multiple of 55410 and 55430