What is the Greatest Common Factor of 76230 and 76235?

Greatest common factor (GCF) of 76230 and 76235 is 5.

GCF(76230,76235) = 5

We will now calculate the prime factors of 76230 and 76235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76230 and 76235.

How to find the GCF of 76230 and 76235?

We will first find the prime factorization of 76230 and 76235. After we will calculate the factors of 76230 and 76235 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 76235

Prime factors of 76235 are 5, 79, 193. Prime factorization of 76235 in exponential form is:

76235 = 5¹ × 79¹ × 193¹

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 76235

List of positive integer factors of 76235 that divides 76230 without a remainder.

1, 5, 79, 193, 395, 965, 15247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76230 and 76235. The biggest common factor number is the GCF number.
So the greatest common factor 76230 and 76235 is 5.

Also check out the Least Common Multiple of 76230 and 76235