What is the Greatest Common Factor of 94737 and 94743?

Greatest common factor (GCF) of 94737 and 94743 is 3.

GCF(94737,94743) = 3

We will now calculate the prime factors of 94737 and 94743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94737 and 94743.

How to find the GCF of 94737 and 94743?

We will first find the prime factorization of 94737 and 94743. After we will calculate the factors of 94737 and 94743 and find the biggest common factor number .

Step-1: Prime Factorization of 94737

Prime factors of 94737 are 3, 23, 1373. Prime factorization of 94737 in exponential form is:

94737 = 3¹ × 23¹ × 1373¹

Step-2: Prime Factorization of 94743

Prime factors of 94743 are 3, 11, 29. Prime factorization of 94743 in exponential form is:

94743 = 3³ × 11² × 29¹

Step-3: Factors of 94737

List of positive integer factors of 94737 that divides 94737 without a remainder.

1, 3, 23, 69, 1373, 4119, 31579

Step-4: Factors of 94743

List of positive integer factors of 94743 that divides 94737 without a remainder.

1, 3, 9, 11, 27, 29, 33, 87, 99, 121, 261, 297, 319, 363, 783, 957, 1089, 2871, 3267, 3509, 8613, 10527, 31581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94737 and 94743. The biggest common factor number is the GCF number.
So the greatest common factor 94737 and 94743 is 3.

Also check out the Least Common Multiple of 94737 and 94743