What is the Greatest Common Factor of 55110 and 55125?

Greatest common factor (GCF) of 55110 and 55125 is 15.

GCF(55110,55125) = 15

We will now calculate the prime factors of 55110 and 55125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55110 and 55125.

How to find the GCF of 55110 and 55125?

We will first find the prime factorization of 55110 and 55125. After we will calculate the factors of 55110 and 55125 and find the biggest common factor number .

Step-1: Prime Factorization of 55110

Prime factors of 55110 are 2, 3, 5, 11, 167. Prime factorization of 55110 in exponential form is:

55110 = 2¹ × 3¹ × 5¹ × 11¹ × 167¹

Step-2: Prime Factorization of 55125

Prime factors of 55125 are 3, 5, 7. Prime factorization of 55125 in exponential form is:

55125 = 3² × 5³ × 7²

Step-3: Factors of 55110

List of positive integer factors of 55110 that divides 55110 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 167, 330, 334, 501, 835, 1002, 1670, 1837, 2505, 3674, 5010, 5511, 9185, 11022, 18370, 27555

Step-4: Factors of 55125

List of positive integer factors of 55125 that divides 55110 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 125, 147, 175, 225, 245, 315, 375, 441, 525, 735, 875, 1125, 1225, 1575, 2205, 2625, 3675, 6125, 7875, 11025, 18375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55110 and 55125. The biggest common factor number is the GCF number.
So the greatest common factor 55110 and 55125 is 15.

Also check out the Least Common Multiple of 55110 and 55125