What is the Greatest Common Factor of 75405 and 75416?

Greatest common factor (GCF) of 75405 and 75416 is 11.

GCF(75405,75416) = 11

We will now calculate the prime factors of 75405 and 75416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75405 and 75416.

How to find the GCF of 75405 and 75416?

We will first find the prime factorization of 75405 and 75416. After we will calculate the factors of 75405 and 75416 and find the biggest common factor number .

Step-1: Prime Factorization of 75405

Prime factors of 75405 are 3, 5, 11, 457. Prime factorization of 75405 in exponential form is:

75405 = 3¹ × 5¹ × 11¹ × 457¹

Step-2: Prime Factorization of 75416

Prime factors of 75416 are 2, 11, 857. Prime factorization of 75416 in exponential form is:

75416 = 2³ × 11¹ × 857¹

Step-3: Factors of 75405

List of positive integer factors of 75405 that divides 75405 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 457, 1371, 2285, 5027, 6855, 15081, 25135

Step-4: Factors of 75416

List of positive integer factors of 75416 that divides 75405 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 857, 1714, 3428, 6856, 9427, 18854, 37708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75405 and 75416. The biggest common factor number is the GCF number.
So the greatest common factor 75405 and 75416 is 11.

Also check out the Least Common Multiple of 75405 and 75416