What is the Greatest Common Factor of 92138 and 92152?

Greatest common factor (GCF) of 92138 and 92152 is 2.

GCF(92138,92152) = 2

We will now calculate the prime factors of 92138 and 92152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92138 and 92152.

How to find the GCF of 92138 and 92152?

We will first find the prime factorization of 92138 and 92152. After we will calculate the factors of 92138 and 92152 and find the biggest common factor number .

Step-1: Prime Factorization of 92138

Prime factors of 92138 are 2, 23, 2003. Prime factorization of 92138 in exponential form is:

92138 = 2¹ × 23¹ × 2003¹

Step-2: Prime Factorization of 92152

Prime factors of 92152 are 2, 11519. Prime factorization of 92152 in exponential form is:

92152 = 2³ × 11519¹

Step-3: Factors of 92138

List of positive integer factors of 92138 that divides 92138 without a remainder.

1, 2, 23, 46, 2003, 4006, 46069

Step-4: Factors of 92152

List of positive integer factors of 92152 that divides 92138 without a remainder.

1, 2, 4, 8, 11519, 23038, 46076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92138 and 92152. The biggest common factor number is the GCF number.
So the greatest common factor 92138 and 92152 is 2.

Also check out the Least Common Multiple of 92138 and 92152