What is the Greatest Common Factor of 92129 and 92142?

Greatest common factor (GCF) of 92129 and 92142 is 1.

GCF(92129,92142) = 1

We will now calculate the prime factors of 92129 and 92142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92129 and 92142.

How to find the GCF of 92129 and 92142?

We will first find the prime factorization of 92129 and 92142. After we will calculate the factors of 92129 and 92142 and find the biggest common factor number .

Step-1: Prime Factorization of 92129

Prime factors of 92129 are 181, 509. Prime factorization of 92129 in exponential form is:

92129 = 181¹ × 509¹

Step-2: Prime Factorization of 92142

Prime factors of 92142 are 2, 3, 5119. Prime factorization of 92142 in exponential form is:

92142 = 2¹ × 3² × 5119¹

Step-3: Factors of 92129

List of positive integer factors of 92129 that divides 92129 without a remainder.

1, 181, 509

Step-4: Factors of 92142

List of positive integer factors of 92142 that divides 92129 without a remainder.

1, 2, 3, 6, 9, 18, 5119, 10238, 15357, 30714, 46071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92129 and 92142. The biggest common factor number is the GCF number.
So the greatest common factor 92129 and 92142 is 1.

Also check out the Least Common Multiple of 92129 and 92142