What is the Greatest Common Factor of 85123 and 85134?

Greatest common factor (GCF) of 85123 and 85134 is 1.

GCF(85123,85134) = 1

We will now calculate the prime factors of 85123 and 85134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85123 and 85134.

How to find the GCF of 85123 and 85134?

We will first find the prime factorization of 85123 and 85134. After we will calculate the factors of 85123 and 85134 and find the biggest common factor number .

Step-1: Prime Factorization of 85123

Prime factors of 85123 are 23, 3701. Prime factorization of 85123 in exponential form is:

85123 = 23¹ × 3701¹

Step-2: Prime Factorization of 85134

Prime factors of 85134 are 2, 3, 7, 2027. Prime factorization of 85134 in exponential form is:

85134 = 2¹ × 3¹ × 7¹ × 2027¹

Step-3: Factors of 85123

List of positive integer factors of 85123 that divides 85123 without a remainder.

1, 23, 3701

Step-4: Factors of 85134

List of positive integer factors of 85134 that divides 85123 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2027, 4054, 6081, 12162, 14189, 28378, 42567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85123 and 85134. The biggest common factor number is the GCF number.
So the greatest common factor 85123 and 85134 is 1.

Also check out the Least Common Multiple of 85123 and 85134