What is the Greatest Common Factor of 92125 and 92138?

Greatest common factor (GCF) of 92125 and 92138 is 1.

GCF(92125,92138) = 1

We will now calculate the prime factors of 92125 and 92138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92125 and 92138.

How to find the GCF of 92125 and 92138?

We will first find the prime factorization of 92125 and 92138. After we will calculate the factors of 92125 and 92138 and find the biggest common factor number .

Step-1: Prime Factorization of 92125

Prime factors of 92125 are 5, 11, 67. Prime factorization of 92125 in exponential form is:

92125 = 5³ × 11¹ × 67¹

Step-2: 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-3: Factors of 92125

List of positive integer factors of 92125 that divides 92125 without a remainder.

1, 5, 11, 25, 55, 67, 125, 275, 335, 737, 1375, 1675, 3685, 8375, 18425

Step-4: Factors of 92138

List of positive integer factors of 92138 that divides 92125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92125 and 92138. The biggest common factor number is the GCF number.
So the greatest common factor 92125 and 92138 is 1.

Also check out the Least Common Multiple of 92125 and 92138