What is the Greatest Common Factor of 75361 and 75374?

Greatest common factor (GCF) of 75361 and 75374 is 13.

GCF(75361,75374) = 13

We will now calculate the prime factors of 75361 and 75374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75361 and 75374.

How to find the GCF of 75361 and 75374?

We will first find the prime factorization of 75361 and 75374. After we will calculate the factors of 75361 and 75374 and find the biggest common factor number .

Step-1: Prime Factorization of 75361

Prime factors of 75361 are 11, 13, 17, 31. Prime factorization of 75361 in exponential form is:

75361 = 11¹ × 13¹ × 17¹ × 31¹

Step-2: 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-3: Factors of 75361

List of positive integer factors of 75361 that divides 75361 without a remainder.

1, 11, 13, 17, 31, 143, 187, 221, 341, 403, 527, 2431, 4433, 5797, 6851

Step-4: Factors of 75374

List of positive integer factors of 75374 that divides 75361 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75361 and 75374. The biggest common factor number is the GCF number.
So the greatest common factor 75361 and 75374 is 13.

Also check out the Least Common Multiple of 75361 and 75374