What is the Greatest Common Factor of 23074 and 23094?

Greatest common factor (GCF) of 23074 and 23094 is 2.

GCF(23074,23094) = 2

We will now calculate the prime factors of 23074 and 23094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23074 and 23094.

How to find the GCF of 23074 and 23094?

We will first find the prime factorization of 23074 and 23094. After we will calculate the factors of 23074 and 23094 and find the biggest common factor number .

Step-1: Prime Factorization of 23074

Prime factors of 23074 are 2, 83, 139. Prime factorization of 23074 in exponential form is:

23074 = 2¹ × 83¹ × 139¹

Step-2: Prime Factorization of 23094

Prime factors of 23094 are 2, 3, 1283. Prime factorization of 23094 in exponential form is:

23094 = 2¹ × 3² × 1283¹

Step-3: Factors of 23074

List of positive integer factors of 23074 that divides 23074 without a remainder.

1, 2, 83, 139, 166, 278, 11537

Step-4: Factors of 23094

List of positive integer factors of 23094 that divides 23074 without a remainder.

1, 2, 3, 6, 9, 18, 1283, 2566, 3849, 7698, 11547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23074 and 23094. The biggest common factor number is the GCF number.
So the greatest common factor 23074 and 23094 is 2.

Also check out the Least Common Multiple of 23074 and 23094