What is the Greatest Common Factor of 55575 and 55583?

Greatest common factor (GCF) of 55575 and 55583 is 1.

GCF(55575,55583) = 1

We will now calculate the prime factors of 55575 and 55583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55575 and 55583.

How to find the GCF of 55575 and 55583?

We will first find the prime factorization of 55575 and 55583. After we will calculate the factors of 55575 and 55583 and find the biggest common factor number .

Step-1: Prime Factorization of 55575

Prime factors of 55575 are 3, 5, 13, 19. Prime factorization of 55575 in exponential form is:

55575 = 3² × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 55583

Prime factors of 55583 are 11, 31, 163. Prime factorization of 55583 in exponential form is:

55583 = 11¹ × 31¹ × 163¹

Step-3: Factors of 55575

List of positive integer factors of 55575 that divides 55575 without a remainder.

1, 3, 5, 9, 13, 15, 19, 25, 39, 45, 57, 65, 75, 95, 117, 171, 195, 225, 247, 285, 325, 475, 585, 741, 855, 975, 1235, 1425, 2223, 2925, 3705, 4275, 6175, 11115, 18525

Step-4: Factors of 55583

List of positive integer factors of 55583 that divides 55575 without a remainder.

1, 11, 31, 163, 341, 1793, 5053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55575 and 55583. The biggest common factor number is the GCF number.
So the greatest common factor 55575 and 55583 is 1.

Also check out the Least Common Multiple of 55575 and 55583