What is the Greatest Common Factor of 75374 and 75382?

Greatest common factor (GCF) of 75374 and 75382 is 2.

GCF(75374,75382) = 2

We will now calculate the prime factors of 75374 and 75382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75374 and 75382.

How to find the GCF of 75374 and 75382?

We will first find the prime factorization of 75374 and 75382. After we will calculate the factors of 75374 and 75382 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 75382

Prime factors of 75382 are 2, 37691. Prime factorization of 75382 in exponential form is:

75382 = 2¹ × 37691¹

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 75382

List of positive integer factors of 75382 that divides 75374 without a remainder.

1, 2, 37691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75374 and 75382. The biggest common factor number is the GCF number.
So the greatest common factor 75374 and 75382 is 2.

Also check out the Least Common Multiple of 75374 and 75382