What is the Greatest Common Factor of 75404 and 75418?

Greatest common factor (GCF) of 75404 and 75418 is 14.

GCF(75404,75418) = 14

We will now calculate the prime factors of 75404 and 75418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75404 and 75418.

How to find the GCF of 75404 and 75418?

We will first find the prime factorization of 75404 and 75418. After we will calculate the factors of 75404 and 75418 and find the biggest common factor number .

Step-1: Prime Factorization of 75404

Prime factors of 75404 are 2, 7, 2693. Prime factorization of 75404 in exponential form is:

75404 = 2² × 7¹ × 2693¹

Step-2: Prime Factorization of 75418

Prime factors of 75418 are 2, 7, 5387. Prime factorization of 75418 in exponential form is:

75418 = 2¹ × 7¹ × 5387¹

Step-3: Factors of 75404

List of positive integer factors of 75404 that divides 75404 without a remainder.

1, 2, 4, 7, 14, 28, 2693, 5386, 10772, 18851, 37702

Step-4: Factors of 75418

List of positive integer factors of 75418 that divides 75404 without a remainder.

1, 2, 7, 14, 5387, 10774, 37709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75404 and 75418. The biggest common factor number is the GCF number.
So the greatest common factor 75404 and 75418 is 14.

Also check out the Least Common Multiple of 75404 and 75418