What is the Greatest Common Factor of 55564 and 55575?

Greatest common factor (GCF) of 55564 and 55575 is 1.

GCF(55564,55575) = 1

We will now calculate the prime factors of 55564 and 55575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55564 and 55575.

How to find the GCF of 55564 and 55575?

We will first find the prime factorization of 55564 and 55575. After we will calculate the factors of 55564 and 55575 and find the biggest common factor number .

Step-1: Prime Factorization of 55564

Prime factors of 55564 are 2, 29, 479. Prime factorization of 55564 in exponential form is:

55564 = 2² × 29¹ × 479¹

Step-2: 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-3: Factors of 55564

List of positive integer factors of 55564 that divides 55564 without a remainder.

1, 2, 4, 29, 58, 116, 479, 958, 1916, 13891, 27782

Step-4: Factors of 55575

List of positive integer factors of 55575 that divides 55564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55564 and 55575. The biggest common factor number is the GCF number.
So the greatest common factor 55564 and 55575 is 1.

Also check out the Least Common Multiple of 55564 and 55575