What is the Greatest Common Factor of 76210 and 76230?

Greatest common factor (GCF) of 76210 and 76230 is 10.

GCF(76210,76230) = 10

We will now calculate the prime factors of 76210 and 76230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76210 and 76230.

How to find the GCF of 76210 and 76230?

We will first find the prime factorization of 76210 and 76230. After we will calculate the factors of 76210 and 76230 and find the biggest common factor number .

Step-1: Prime Factorization of 76210

Prime factors of 76210 are 2, 5, 7621. Prime factorization of 76210 in exponential form is:

76210 = 2¹ × 5¹ × 7621¹

Step-2: 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-3: Factors of 76210

List of positive integer factors of 76210 that divides 76210 without a remainder.

1, 2, 5, 10, 7621, 15242, 38105

Step-4: Factors of 76230

List of positive integer factors of 76230 that divides 76210 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76210 and 76230. The biggest common factor number is the GCF number.
So the greatest common factor 76210 and 76230 is 10.

Also check out the Least Common Multiple of 76210 and 76230