What is the Greatest Common Factor of 94743 and 94749?

Greatest common factor (GCF) of 94743 and 94749 is 3.

GCF(94743,94749) = 3

We will now calculate the prime factors of 94743 and 94749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94743 and 94749.

How to find the GCF of 94743 and 94749?

We will first find the prime factorization of 94743 and 94749. After we will calculate the factors of 94743 and 94749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94749

Prime factors of 94749 are 3, 31583. Prime factorization of 94749 in exponential form is:

94749 = 3¹ × 31583¹

Step-3: Factors of 94743

List of positive integer factors of 94743 that divides 94743 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

Step-4: Factors of 94749

List of positive integer factors of 94749 that divides 94743 without a remainder.

1, 3, 31583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94743 and 94749. The biggest common factor number is the GCF number.
So the greatest common factor 94743 and 94749 is 3.

Also check out the Least Common Multiple of 94743 and 94749