What is the Greatest Common Factor of 61125 and 61132?

Greatest common factor (GCF) of 61125 and 61132 is 1.

GCF(61125,61132) = 1

We will now calculate the prime factors of 61125 and 61132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61132.

How to find the GCF of 61125 and 61132?

We will first find the prime factorization of 61125 and 61132. After we will calculate the factors of 61125 and 61132 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61132

Prime factors of 61132 are 2, 17, 29, 31. Prime factorization of 61132 in exponential form is:

61132 = 2² × 17¹ × 29¹ × 31¹

Step-3: Factors of 61125

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

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

Step-4: Factors of 61132

List of positive integer factors of 61132 that divides 61125 without a remainder.

1, 2, 4, 17, 29, 31, 34, 58, 62, 68, 116, 124, 493, 527, 899, 986, 1054, 1798, 1972, 2108, 3596, 15283, 30566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61132. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61132 is 1.

Also check out the Least Common Multiple of 61125 and 61132