What is the Greatest Common Factor of 74438 and 74451?

Greatest common factor (GCF) of 74438 and 74451 is 13.

GCF(74438,74451) = 13

We will now calculate the prime factors of 74438 and 74451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74438 and 74451.

How to find the GCF of 74438 and 74451?

We will first find the prime factorization of 74438 and 74451. After we will calculate the factors of 74438 and 74451 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 74451

Prime factors of 74451 are 3, 13, 23, 83. Prime factorization of 74451 in exponential form is:

74451 = 3¹ × 13¹ × 23¹ × 83¹

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 74451

List of positive integer factors of 74451 that divides 74438 without a remainder.

1, 3, 13, 23, 39, 69, 83, 249, 299, 897, 1079, 1909, 3237, 5727, 24817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74438 and 74451. The biggest common factor number is the GCF number.
So the greatest common factor 74438 and 74451 is 13.

Also check out the Least Common Multiple of 74438 and 74451