What is the Greatest Common Factor of 55545 and 55555?

Greatest common factor (GCF) of 55545 and 55555 is 5.

GCF(55545,55555) = 5

We will now calculate the prime factors of 55545 and 55555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55545 and 55555.

How to find the GCF of 55545 and 55555?

We will first find the prime factorization of 55545 and 55555. After we will calculate the factors of 55545 and 55555 and find the biggest common factor number .

Step-1: Prime Factorization of 55545

Prime factors of 55545 are 3, 5, 7, 23. Prime factorization of 55545 in exponential form is:

55545 = 3¹ × 5¹ × 7¹ × 23²

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 55545

List of positive integer factors of 55545 that divides 55545 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 529, 805, 1587, 2415, 2645, 3703, 7935, 11109, 18515

Step-4: Factors of 55555

List of positive integer factors of 55555 that divides 55545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55545 and 55555. The biggest common factor number is the GCF number.
So the greatest common factor 55545 and 55555 is 5.

Also check out the Least Common Multiple of 55545 and 55555