What is the Greatest Common Factor of 55577 and 55590?

Greatest common factor (GCF) of 55577 and 55590 is 1.

GCF(55577,55590) = 1

We will now calculate the prime factors of 55577 and 55590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55577 and 55590.

How to find the GCF of 55577 and 55590?

We will first find the prime factorization of 55577 and 55590. After we will calculate the factors of 55577 and 55590 and find the biggest common factor number .

Step-1: Prime Factorization of 55577

Prime factors of 55577 are 149, 373. Prime factorization of 55577 in exponential form is:

55577 = 149¹ × 373¹

Step-2: Prime Factorization of 55590

Prime factors of 55590 are 2, 3, 5, 17, 109. Prime factorization of 55590 in exponential form is:

55590 = 2¹ × 3¹ × 5¹ × 17¹ × 109¹

Step-3: Factors of 55577

List of positive integer factors of 55577 that divides 55577 without a remainder.

1, 149, 373

Step-4: Factors of 55590

List of positive integer factors of 55590 that divides 55577 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 109, 170, 218, 255, 327, 510, 545, 654, 1090, 1635, 1853, 3270, 3706, 5559, 9265, 11118, 18530, 27795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55577 and 55590. The biggest common factor number is the GCF number.
So the greatest common factor 55577 and 55590 is 1.

Also check out the Least Common Multiple of 55577 and 55590