What is the Greatest Common Factor of 61131 and 61142?

Greatest common factor (GCF) of 61131 and 61142 is 1.

GCF(61131,61142) = 1

We will now calculate the prime factors of 61131 and 61142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61131 and 61142.

How to find the GCF of 61131 and 61142?

We will first find the prime factorization of 61131 and 61142. After we will calculate the factors of 61131 and 61142 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 61142

Prime factors of 61142 are 2, 19, 1609. Prime factorization of 61142 in exponential form is:

61142 = 2¹ × 19¹ × 1609¹

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 61142

List of positive integer factors of 61142 that divides 61131 without a remainder.

1, 2, 19, 38, 1609, 3218, 30571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61131 and 61142. The biggest common factor number is the GCF number.
So the greatest common factor 61131 and 61142 is 1.

Also check out the Least Common Multiple of 61131 and 61142