What is the Greatest Common Factor of 55550 and 55555?

Greatest common factor (GCF) of 55550 and 55555 is 5.

GCF(55550,55555) = 5

We will now calculate the prime factors of 55550 and 55555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55550 and 55555.

How to find the GCF of 55550 and 55555?

We will first find the prime factorization of 55550 and 55555. After we will calculate the factors of 55550 and 55555 and find the biggest common factor number .

Step-1: Prime Factorization of 55550

Prime factors of 55550 are 2, 5, 11, 101. Prime factorization of 55550 in exponential form is:

55550 = 2¹ × 5² × 11¹ × 101¹

Step-2: Prime Factorization of 55555

Prime factors of 55555 are 5, 41, 271. Prime factorization of 55555 in exponential form is:

55555 = 5¹ × 41¹ × 271¹

Step-3: Factors of 55550

List of positive integer factors of 55550 that divides 55550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 101, 110, 202, 275, 505, 550, 1010, 1111, 2222, 2525, 5050, 5555, 11110, 27775

Step-4: Factors of 55555

List of positive integer factors of 55555 that divides 55550 without a remainder.

1, 5, 41, 205, 271, 1355, 11111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55550 and 55555. The biggest common factor number is the GCF number.
So the greatest common factor 55550 and 55555 is 5.

Also check out the Least Common Multiple of 55550 and 55555