What is the Greatest Common Factor of 75376 and 75393?

Greatest common factor (GCF) of 75376 and 75393 is 1.

GCF(75376,75393) = 1

We will now calculate the prime factors of 75376 and 75393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75376 and 75393.

How to find the GCF of 75376 and 75393?

We will first find the prime factorization of 75376 and 75393. After we will calculate the factors of 75376 and 75393 and find the biggest common factor number .

Step-1: Prime Factorization of 75376

Prime factors of 75376 are 2, 7, 673. Prime factorization of 75376 in exponential form is:

75376 = 2⁴ × 7¹ × 673¹

Step-2: Prime Factorization of 75393

Prime factors of 75393 are 3, 8377. Prime factorization of 75393 in exponential form is:

75393 = 3² × 8377¹

Step-3: Factors of 75376

List of positive integer factors of 75376 that divides 75376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 673, 1346, 2692, 4711, 5384, 9422, 10768, 18844, 37688

Step-4: Factors of 75393

List of positive integer factors of 75393 that divides 75376 without a remainder.

1, 3, 9, 8377, 25131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75376 and 75393. The biggest common factor number is the GCF number.
So the greatest common factor 75376 and 75393 is 1.

Also check out the Least Common Multiple of 75376 and 75393