What is the Greatest Common Factor of 74438 and 74454?

Greatest common factor (GCF) of 74438 and 74454 is 2.

GCF(74438,74454) = 2

We will now calculate the prime factors of 74438 and 74454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74438 and 74454.

How to find the GCF of 74438 and 74454?

We will first find the prime factorization of 74438 and 74454. After we will calculate the factors of 74438 and 74454 and find the biggest common factor number .

Step-1: Prime Factorization of 74438

Prime factors of 74438 are 2, 7, 13, 409. Prime factorization of 74438 in exponential form is:

74438 = 2¹ × 7¹ × 13¹ × 409¹

Step-2: Prime Factorization of 74454

Prime factors of 74454 are 2, 3, 12409. Prime factorization of 74454 in exponential form is:

74454 = 2¹ × 3¹ × 12409¹

Step-3: Factors of 74438

List of positive integer factors of 74438 that divides 74438 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 409, 818, 2863, 5317, 5726, 10634, 37219

Step-4: Factors of 74454

List of positive integer factors of 74454 that divides 74438 without a remainder.

1, 2, 3, 6, 12409, 24818, 37227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74438 and 74454. The biggest common factor number is the GCF number.
So the greatest common factor 74438 and 74454 is 2.

Also check out the Least Common Multiple of 74438 and 74454