What is the Greatest Common Factor of 94734 and 94742?

Greatest common factor (GCF) of 94734 and 94742 is 2.

GCF(94734,94742) = 2

We will now calculate the prime factors of 94734 and 94742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94734 and 94742.

How to find the GCF of 94734 and 94742?

We will first find the prime factorization of 94734 and 94742. After we will calculate the factors of 94734 and 94742 and find the biggest common factor number .

Step-1: Prime Factorization of 94734

Prime factors of 94734 are 2, 3, 19, 277. Prime factorization of 94734 in exponential form is:

94734 = 2¹ × 3² × 19¹ × 277¹

Step-2: Prime Factorization of 94742

Prime factors of 94742 are 2, 127, 373. Prime factorization of 94742 in exponential form is:

94742 = 2¹ × 127¹ × 373¹

Step-3: Factors of 94734

List of positive integer factors of 94734 that divides 94734 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 277, 342, 554, 831, 1662, 2493, 4986, 5263, 10526, 15789, 31578, 47367

Step-4: Factors of 94742

List of positive integer factors of 94742 that divides 94734 without a remainder.

1, 2, 127, 254, 373, 746, 47371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94734 and 94742. The biggest common factor number is the GCF number.
So the greatest common factor 94734 and 94742 is 2.

Also check out the Least Common Multiple of 94734 and 94742