What is the Greatest Common Factor of 92128 and 92142?

Greatest common factor (GCF) of 92128 and 92142 is 2.

GCF(92128,92142) = 2

We will now calculate the prime factors of 92128 and 92142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92128 and 92142.

How to find the GCF of 92128 and 92142?

We will first find the prime factorization of 92128 and 92142. After we will calculate the factors of 92128 and 92142 and find the biggest common factor number .

Step-1: Prime Factorization of 92128

Prime factors of 92128 are 2, 2879. Prime factorization of 92128 in exponential form is:

92128 = 2⁵ × 2879¹

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 92128

List of positive integer factors of 92128 that divides 92128 without a remainder.

1, 2, 4, 8, 16, 32, 2879, 5758, 11516, 23032, 46064

Step-4: Factors of 92142

List of positive integer factors of 92142 that divides 92128 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 92128 and 92142. The biggest common factor number is the GCF number.
So the greatest common factor 92128 and 92142 is 2.

Also check out the Least Common Multiple of 92128 and 92142