What is the Greatest Common Factor of 74426 and 74433?

Greatest common factor (GCF) of 74426 and 74433 is 1.

GCF(74426,74433) = 1

We will now calculate the prime factors of 74426 and 74433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74426 and 74433.

How to find the GCF of 74426 and 74433?

We will first find the prime factorization of 74426 and 74433. After we will calculate the factors of 74426 and 74433 and find the biggest common factor number .

Step-1: Prime Factorization of 74426

Prime factors of 74426 are 2, 11, 17, 199. Prime factorization of 74426 in exponential form is:

74426 = 2¹ × 11¹ × 17¹ × 199¹

Step-2: Prime Factorization of 74433

Prime factors of 74433 are 3, 43, 577. Prime factorization of 74433 in exponential form is:

74433 = 3¹ × 43¹ × 577¹

Step-3: Factors of 74426

List of positive integer factors of 74426 that divides 74426 without a remainder.

1, 2, 11, 17, 22, 34, 187, 199, 374, 398, 2189, 3383, 4378, 6766, 37213

Step-4: Factors of 74433

List of positive integer factors of 74433 that divides 74426 without a remainder.

1, 3, 43, 129, 577, 1731, 24811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74426 and 74433. The biggest common factor number is the GCF number.
So the greatest common factor 74426 and 74433 is 1.

Also check out the Least Common Multiple of 74426 and 74433