What is the Greatest Common Factor of 75358 and 75377?

Greatest common factor (GCF) of 75358 and 75377 is 1.

GCF(75358,75377) = 1

We will now calculate the prime factors of 75358 and 75377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75358 and 75377.

How to find the GCF of 75358 and 75377?

We will first find the prime factorization of 75358 and 75377. After we will calculate the factors of 75358 and 75377 and find the biggest common factor number .

Step-1: Prime Factorization of 75358

Prime factors of 75358 are 2, 41, 919. Prime factorization of 75358 in exponential form is:

75358 = 2¹ × 41¹ × 919¹

Step-2: Prime Factorization of 75377

Prime factors of 75377 are 75377. Prime factorization of 75377 in exponential form is:

75377 = 75377¹

Step-3: Factors of 75358

List of positive integer factors of 75358 that divides 75358 without a remainder.

1, 2, 41, 82, 919, 1838, 37679

Step-4: Factors of 75377

List of positive integer factors of 75377 that divides 75358 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75358 and 75377. The biggest common factor number is the GCF number.
So the greatest common factor 75358 and 75377 is 1.

Also check out the Least Common Multiple of 75358 and 75377