What is the Greatest Common Factor of 75374 and 75391?

Greatest common factor (GCF) of 75374 and 75391 is 1.

GCF(75374,75391) = 1

We will now calculate the prime factors of 75374 and 75391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75374 and 75391.

How to find the GCF of 75374 and 75391?

We will first find the prime factorization of 75374 and 75391. After we will calculate the factors of 75374 and 75391 and find the biggest common factor number .

Step-1: Prime Factorization of 75374

Prime factors of 75374 are 2, 13, 223. Prime factorization of 75374 in exponential form is:

75374 = 2¹ × 13² × 223¹

Step-2: Prime Factorization of 75391

Prime factors of 75391 are 75391. Prime factorization of 75391 in exponential form is:

75391 = 75391¹

Step-3: Factors of 75374

List of positive integer factors of 75374 that divides 75374 without a remainder.

1, 2, 13, 26, 169, 223, 338, 446, 2899, 5798, 37687

Step-4: Factors of 75391

List of positive integer factors of 75391 that divides 75374 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75374 and 75391. The biggest common factor number is the GCF number.
So the greatest common factor 75374 and 75391 is 1.

Also check out the Least Common Multiple of 75374 and 75391