What is the Greatest Common Factor of 55105 and 55125?

Greatest common factor (GCF) of 55105 and 55125 is 5.

GCF(55105,55125) = 5

We will now calculate the prime factors of 55105 and 55125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55105 and 55125.

How to find the GCF of 55105 and 55125?

We will first find the prime factorization of 55105 and 55125. After we will calculate the factors of 55105 and 55125 and find the biggest common factor number .

Step-1: Prime Factorization of 55105

Prime factors of 55105 are 5, 103, 107. Prime factorization of 55105 in exponential form is:

55105 = 5¹ × 103¹ × 107¹

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 55105

List of positive integer factors of 55105 that divides 55105 without a remainder.

1, 5, 103, 107, 515, 535, 11021

Step-4: Factors of 55125

List of positive integer factors of 55125 that divides 55105 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 55105 and 55125. The biggest common factor number is the GCF number.
So the greatest common factor 55105 and 55125 is 5.

Also check out the Least Common Multiple of 55105 and 55125