What is the Greatest Common Factor of 61131 and 61135?

Greatest common factor (GCF) of 61131 and 61135 is 1.

GCF(61131,61135) = 1

We will now calculate the prime factors of 61131 and 61135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61131 and 61135.

How to find the GCF of 61131 and 61135?

We will first find the prime factorization of 61131 and 61135. After we will calculate the factors of 61131 and 61135 and find the biggest common factor number .

Step-1: Prime Factorization of 61131

Prime factors of 61131 are 3, 7, 41, 71. Prime factorization of 61131 in exponential form is:

61131 = 3¹ × 7¹ × 41¹ × 71¹

Step-2: Prime Factorization of 61135

Prime factors of 61135 are 5, 12227. Prime factorization of 61135 in exponential form is:

61135 = 5¹ × 12227¹

Step-3: Factors of 61131

List of positive integer factors of 61131 that divides 61131 without a remainder.

1, 3, 7, 21, 41, 71, 123, 213, 287, 497, 861, 1491, 2911, 8733, 20377

Step-4: Factors of 61135

List of positive integer factors of 61135 that divides 61131 without a remainder.

1, 5, 12227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61131 and 61135. The biggest common factor number is the GCF number.
So the greatest common factor 61131 and 61135 is 1.

Also check out the Least Common Multiple of 61131 and 61135