What is the Greatest Common Factor of 61117 and 61131?

Greatest common factor (GCF) of 61117 and 61131 is 7.

GCF(61117,61131) = 7

We will now calculate the prime factors of 61117 and 61131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61117 and 61131.

How to find the GCF of 61117 and 61131?

We will first find the prime factorization of 61117 and 61131. After we will calculate the factors of 61117 and 61131 and find the biggest common factor number .

Step-1: Prime Factorization of 61117

Prime factors of 61117 are 7, 8731. Prime factorization of 61117 in exponential form is:

61117 = 7¹ × 8731¹

Step-2: 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-3: Factors of 61117

List of positive integer factors of 61117 that divides 61117 without a remainder.

1, 7, 8731

Step-4: Factors of 61131

List of positive integer factors of 61131 that divides 61117 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61117 and 61131. The biggest common factor number is the GCF number.
So the greatest common factor 61117 and 61131 is 7.

Also check out the Least Common Multiple of 61117 and 61131