What is the Greatest Common Factor of 75478 and 75491?

Greatest common factor (GCF) of 75478 and 75491 is 13.

GCF(75478,75491) = 13

We will now calculate the prime factors of 75478 and 75491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75478 and 75491.

How to find the GCF of 75478 and 75491?

We will first find the prime factorization of 75478 and 75491. After we will calculate the factors of 75478 and 75491 and find the biggest common factor number .

Step-1: Prime Factorization of 75478

Prime factors of 75478 are 2, 13, 2903. Prime factorization of 75478 in exponential form is:

75478 = 2¹ × 13¹ × 2903¹

Step-2: Prime Factorization of 75491

Prime factors of 75491 are 13, 5807. Prime factorization of 75491 in exponential form is:

75491 = 13¹ × 5807¹

Step-3: Factors of 75478

List of positive integer factors of 75478 that divides 75478 without a remainder.

1, 2, 13, 26, 2903, 5806, 37739

Step-4: Factors of 75491

List of positive integer factors of 75491 that divides 75478 without a remainder.

1, 13, 5807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75478 and 75491. The biggest common factor number is the GCF number.
So the greatest common factor 75478 and 75491 is 13.

Also check out the Least Common Multiple of 75478 and 75491