What is the Greatest Common Factor of 76230 and 76250?

Greatest common factor (GCF) of 76230 and 76250 is 10.

GCF(76230,76250) = 10

We will now calculate the prime factors of 76230 and 76250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76230 and 76250.

How to find the GCF of 76230 and 76250?

We will first find the prime factorization of 76230 and 76250. After we will calculate the factors of 76230 and 76250 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 76250

Prime factors of 76250 are 2, 5, 61. Prime factorization of 76250 in exponential form is:

76250 = 2¹ × 5⁴ × 61¹

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 76250

List of positive integer factors of 76250 that divides 76230 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 625, 1250, 1525, 3050, 7625, 15250, 38125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76230 and 76250. The biggest common factor number is the GCF number.
So the greatest common factor 76230 and 76250 is 10.

Also check out the Least Common Multiple of 76230 and 76250