What is the Greatest Common Factor of 74783 and 74793?

Greatest common factor (GCF) of 74783 and 74793 is 1.

GCF(74783,74793) = 1

We will now calculate the prime factors of 74783 and 74793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74783 and 74793.

How to find the GCF of 74783 and 74793?

We will first find the prime factorization of 74783 and 74793. After we will calculate the factors of 74783 and 74793 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74793

Prime factors of 74793 are 3, 107, 233. Prime factorization of 74793 in exponential form is:

74793 = 3¹ × 107¹ × 233¹

Step-3: Factors of 74783

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

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

Step-4: Factors of 74793

List of positive integer factors of 74793 that divides 74783 without a remainder.

1, 3, 107, 233, 321, 699, 24931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74783 and 74793. The biggest common factor number is the GCF number.
So the greatest common factor 74783 and 74793 is 1.

Also check out the Least Common Multiple of 74783 and 74793