What is the Greatest Common Factor of 61125 and 61133?

Greatest common factor (GCF) of 61125 and 61133 is 1.

GCF(61125,61133) = 1

We will now calculate the prime factors of 61125 and 61133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61125 and 61133.

How to find the GCF of 61125 and 61133?

We will first find the prime factorization of 61125 and 61133. After we will calculate the factors of 61125 and 61133 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 61133

Prime factors of 61133 are 113, 541. Prime factorization of 61133 in exponential form is:

61133 = 113¹ × 541¹

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 61133

List of positive integer factors of 61133 that divides 61125 without a remainder.

1, 113, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61125 and 61133. The biggest common factor number is the GCF number.
So the greatest common factor 61125 and 61133 is 1.

Also check out the Least Common Multiple of 61125 and 61133