What is the Greatest Common Factor of 76230 and 76241?

Greatest common factor (GCF) of 76230 and 76241 is 11.

GCF(76230,76241) = 11

We will now calculate the prime factors of 76230 and 76241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76230 and 76241.

How to find the GCF of 76230 and 76241?

We will first find the prime factorization of 76230 and 76241. After we will calculate the factors of 76230 and 76241 and find the biggest common factor number .

Step-1: Prime Factorization of 76230

Prime factors of 76230 are 2, 3, 5, 7, 11. Prime factorization of 76230 in exponential form is:

76230 = 2¹ × 3² × 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 76241

Prime factors of 76241 are 11, 29, 239. Prime factorization of 76241 in exponential form is:

76241 = 11¹ × 29¹ × 239¹

Step-3: Factors of 76230

List of positive integer factors of 76230 that divides 76230 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 121, 126, 154, 165, 198, 210, 231, 242, 315, 330, 363, 385, 462, 495, 605, 630, 693, 726, 770, 847, 990, 1089, 1155, 1210, 1386, 1694, 1815, 2178, 2310, 2541, 3465, 3630, 4235, 5082, 5445, 6930, 7623, 8470, 10890, 12705, 15246, 25410, 38115

Step-4: Factors of 76241

List of positive integer factors of 76241 that divides 76230 without a remainder.

1, 11, 29, 239, 319, 2629, 6931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76230 and 76241. The biggest common factor number is the GCF number.
So the greatest common factor 76230 and 76241 is 11.

Also check out the Least Common Multiple of 76230 and 76241