What is the Greatest Common Factor of 75374 and 75388?

Greatest common factor (GCF) of 75374 and 75388 is 2.

GCF(75374,75388) = 2

We will now calculate the prime factors of 75374 and 75388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75374 and 75388.

How to find the GCF of 75374 and 75388?

We will first find the prime factorization of 75374 and 75388. After we will calculate the factors of 75374 and 75388 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 75388

Prime factors of 75388 are 2, 47, 401. Prime factorization of 75388 in exponential form is:

75388 = 2² × 47¹ × 401¹

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 75388

List of positive integer factors of 75388 that divides 75374 without a remainder.

1, 2, 4, 47, 94, 188, 401, 802, 1604, 18847, 37694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75374 and 75388. The biggest common factor number is the GCF number.
So the greatest common factor 75374 and 75388 is 2.

Also check out the Least Common Multiple of 75374 and 75388