What is the Greatest Common Factor of 75605 and 75616?

Greatest common factor (GCF) of 75605 and 75616 is 1.

GCF(75605,75616) = 1

We will now calculate the prime factors of 75605 and 75616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75605 and 75616.

How to find the GCF of 75605 and 75616?

We will first find the prime factorization of 75605 and 75616. After we will calculate the factors of 75605 and 75616 and find the biggest common factor number .

Step-1: Prime Factorization of 75605

Prime factors of 75605 are 5, 15121. Prime factorization of 75605 in exponential form is:

75605 = 5¹ × 15121¹

Step-2: Prime Factorization of 75616

Prime factors of 75616 are 2, 17, 139. Prime factorization of 75616 in exponential form is:

75616 = 2⁵ × 17¹ × 139¹

Step-3: Factors of 75605

List of positive integer factors of 75605 that divides 75605 without a remainder.

1, 5, 15121

Step-4: Factors of 75616

List of positive integer factors of 75616 that divides 75605 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 139, 272, 278, 544, 556, 1112, 2224, 2363, 4448, 4726, 9452, 18904, 37808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75605 and 75616. The biggest common factor number is the GCF number.
So the greatest common factor 75605 and 75616 is 1.

Also check out the Least Common Multiple of 75605 and 75616