What is the Greatest Common Factor of 74766 and 74783?

Greatest common factor (GCF) of 74766 and 74783 is 17.

GCF(74766,74783) = 17

We will now calculate the prime factors of 74766 and 74783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74766 and 74783.

How to find the GCF of 74766 and 74783?

We will first find the prime factorization of 74766 and 74783. After we will calculate the factors of 74766 and 74783 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74783

Prime factors of 74783 are 17, 53, 83. Prime factorization of 74783 in exponential form is:

74783 = 17¹ × 53¹ × 83¹

Step-3: Factors of 74766

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

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

Step-4: Factors of 74783

List of positive integer factors of 74783 that divides 74766 without a remainder.

1, 17, 53, 83, 901, 1411, 4399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74766 and 74783. The biggest common factor number is the GCF number.
So the greatest common factor 74766 and 74783 is 17.

Also check out the Least Common Multiple of 74766 and 74783