What is the Greatest Common Factor of 74774 and 74783?

Greatest common factor (GCF) of 74774 and 74783 is 1.

GCF(74774,74783) = 1

We will now calculate the prime factors of 74774 and 74783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74774 and 74783.

How to find the GCF of 74774 and 74783?

We will first find the prime factorization of 74774 and 74783. After we will calculate the factors of 74774 and 74783 and find the biggest common factor number .

Step-1: Prime Factorization of 74774

Prime factors of 74774 are 2, 7, 109. Prime factorization of 74774 in exponential form is:

74774 = 2¹ × 7³ × 109¹

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 74774

List of positive integer factors of 74774 that divides 74774 without a remainder.

1, 2, 7, 14, 49, 98, 109, 218, 343, 686, 763, 1526, 5341, 10682, 37387

Step-4: Factors of 74783

List of positive integer factors of 74783 that divides 74774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74774 and 74783. The biggest common factor number is the GCF number.
So the greatest common factor 74774 and 74783 is 1.

Also check out the Least Common Multiple of 74774 and 74783