What is the Greatest Common Factor of 55560 and 55575?

Greatest common factor (GCF) of 55560 and 55575 is 15.

GCF(55560,55575) = 15

We will now calculate the prime factors of 55560 and 55575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55560 and 55575.

How to find the GCF of 55560 and 55575?

We will first find the prime factorization of 55560 and 55575. After we will calculate the factors of 55560 and 55575 and find the biggest common factor number .

Step-1: Prime Factorization of 55560

Prime factors of 55560 are 2, 3, 5, 463. Prime factorization of 55560 in exponential form is:

55560 = 2³ × 3¹ × 5¹ × 463¹

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 55560

List of positive integer factors of 55560 that divides 55560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 463, 926, 1389, 1852, 2315, 2778, 3704, 4630, 5556, 6945, 9260, 11112, 13890, 18520, 27780

Step-4: Factors of 55575

List of positive integer factors of 55575 that divides 55560 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 55560 and 55575. The biggest common factor number is the GCF number.
So the greatest common factor 55560 and 55575 is 15.

Also check out the Least Common Multiple of 55560 and 55575