What is the Greatest Common Factor of 74751 and 74766?

Greatest common factor (GCF) of 74751 and 74766 is 3.

GCF(74751,74766) = 3

We will now calculate the prime factors of 74751 and 74766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74751 and 74766.

How to find the GCF of 74751 and 74766?

We will first find the prime factorization of 74751 and 74766. After we will calculate the factors of 74751 and 74766 and find the biggest common factor number .

Step-1: Prime Factorization of 74751

Prime factors of 74751 are 3, 24917. Prime factorization of 74751 in exponential form is:

74751 = 3¹ × 24917¹

Step-2: Prime Factorization of 74766

Prime factors of 74766 are 2, 3, 17, 733. Prime factorization of 74766 in exponential form is:

74766 = 2¹ × 3¹ × 17¹ × 733¹

Step-3: Factors of 74751

List of positive integer factors of 74751 that divides 74751 without a remainder.

1, 3, 24917

Step-4: Factors of 74766

List of positive integer factors of 74766 that divides 74751 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 733, 1466, 2199, 4398, 12461, 24922, 37383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74751 and 74766. The biggest common factor number is the GCF number.
So the greatest common factor 74751 and 74766 is 3.

Also check out the Least Common Multiple of 74751 and 74766