What is the Greatest Common Factor of 74457 and 74470?

Greatest common factor (GCF) of 74457 and 74470 is 1.

GCF(74457,74470) = 1

We will now calculate the prime factors of 74457 and 74470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74457 and 74470.

How to find the GCF of 74457 and 74470?

We will first find the prime factorization of 74457 and 74470. After we will calculate the factors of 74457 and 74470 and find the biggest common factor number .

Step-1: Prime Factorization of 74457

Prime factors of 74457 are 3, 8273. Prime factorization of 74457 in exponential form is:

74457 = 3² × 8273¹

Step-2: Prime Factorization of 74470

Prime factors of 74470 are 2, 5, 11, 677. Prime factorization of 74470 in exponential form is:

74470 = 2¹ × 5¹ × 11¹ × 677¹

Step-3: Factors of 74457

List of positive integer factors of 74457 that divides 74457 without a remainder.

1, 3, 9, 8273, 24819

Step-4: Factors of 74470

List of positive integer factors of 74470 that divides 74457 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 677, 1354, 3385, 6770, 7447, 14894, 37235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74457 and 74470. The biggest common factor number is the GCF number.
So the greatest common factor 74457 and 74470 is 1.

Also check out the Least Common Multiple of 74457 and 74470