What is the Greatest Common Factor of 75251 and 75262?

Greatest common factor (GCF) of 75251 and 75262 is 11.

GCF(75251,75262) = 11

We will now calculate the prime factors of 75251 and 75262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75251 and 75262.

How to find the GCF of 75251 and 75262?

We will first find the prime factorization of 75251 and 75262. After we will calculate the factors of 75251 and 75262 and find the biggest common factor number .

Step-1: Prime Factorization of 75251

Prime factors of 75251 are 11, 6841. Prime factorization of 75251 in exponential form is:

75251 = 11¹ × 6841¹

Step-2: Prime Factorization of 75262

Prime factors of 75262 are 2, 11, 311. Prime factorization of 75262 in exponential form is:

75262 = 2¹ × 11² × 311¹

Step-3: Factors of 75251

List of positive integer factors of 75251 that divides 75251 without a remainder.

1, 11, 6841

Step-4: Factors of 75262

List of positive integer factors of 75262 that divides 75251 without a remainder.

1, 2, 11, 22, 121, 242, 311, 622, 3421, 6842, 37631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75251 and 75262. The biggest common factor number is the GCF number.
So the greatest common factor 75251 and 75262 is 11.

Also check out the Least Common Multiple of 75251 and 75262