What is the Greatest Common Factor of 74438 and 74455?

Greatest common factor (GCF) of 74438 and 74455 is 1.

GCF(74438,74455) = 1

We will now calculate the prime factors of 74438 and 74455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74438 and 74455.

How to find the GCF of 74438 and 74455?

We will first find the prime factorization of 74438 and 74455. After we will calculate the factors of 74438 and 74455 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 74455

Prime factors of 74455 are 5, 14891. Prime factorization of 74455 in exponential form is:

74455 = 5¹ × 14891¹

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 74455

List of positive integer factors of 74455 that divides 74438 without a remainder.

1, 5, 14891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74438 and 74455. The biggest common factor number is the GCF number.
So the greatest common factor 74438 and 74455 is 1.

Also check out the Least Common Multiple of 74438 and 74455