What is the Greatest Common Factor of 75350 and 75361?

Greatest common factor (GCF) of 75350 and 75361 is 11.

GCF(75350,75361) = 11

We will now calculate the prime factors of 75350 and 75361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75350 and 75361.

How to find the GCF of 75350 and 75361?

We will first find the prime factorization of 75350 and 75361. After we will calculate the factors of 75350 and 75361 and find the biggest common factor number .

Step-1: Prime Factorization of 75350

Prime factors of 75350 are 2, 5, 11, 137. Prime factorization of 75350 in exponential form is:

75350 = 2¹ × 5² × 11¹ × 137¹

Step-2: 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-3: Factors of 75350

List of positive integer factors of 75350 that divides 75350 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 137, 274, 275, 550, 685, 1370, 1507, 3014, 3425, 6850, 7535, 15070, 37675

Step-4: Factors of 75361

List of positive integer factors of 75361 that divides 75350 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75350 and 75361. The biggest common factor number is the GCF number.
So the greatest common factor 75350 and 75361 is 11.

Also check out the Least Common Multiple of 75350 and 75361