What is the Greatest Common Factor of 61105 and 61125?

Greatest common factor (GCF) of 61105 and 61125 is 5.

GCF(61105,61125) = 5

We will now calculate the prime factors of 61105 and 61125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61105 and 61125.

How to find the GCF of 61105 and 61125?

We will first find the prime factorization of 61105 and 61125. After we will calculate the factors of 61105 and 61125 and find the biggest common factor number .

Step-1: Prime Factorization of 61105

Prime factors of 61105 are 5, 11, 101. Prime factorization of 61105 in exponential form is:

61105 = 5¹ × 11² × 101¹

Step-2: Prime Factorization of 61125

Prime factors of 61125 are 3, 5, 163. Prime factorization of 61125 in exponential form is:

61125 = 3¹ × 5³ × 163¹

Step-3: Factors of 61105

List of positive integer factors of 61105 that divides 61105 without a remainder.

1, 5, 11, 55, 101, 121, 505, 605, 1111, 5555, 12221

Step-4: Factors of 61125

List of positive integer factors of 61125 that divides 61105 without a remainder.

1, 3, 5, 15, 25, 75, 125, 163, 375, 489, 815, 2445, 4075, 12225, 20375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61105 and 61125. The biggest common factor number is the GCF number.
So the greatest common factor 61105 and 61125 is 5.

Also check out the Least Common Multiple of 61105 and 61125