What is the Greatest Common Factor of 76235 and 76250?

Greatest common factor (GCF) of 76235 and 76250 is 5.

GCF(76235,76250) = 5

We will now calculate the prime factors of 76235 and 76250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76235 and 76250.

How to find the GCF of 76235 and 76250?

We will first find the prime factorization of 76235 and 76250. After we will calculate the factors of 76235 and 76250 and find the biggest common factor number .

Step-1: 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-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 76235

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

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

Step-4: Factors of 76250

List of positive integer factors of 76250 that divides 76235 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 76235 and 76250. The biggest common factor number is the GCF number.
So the greatest common factor 76235 and 76250 is 5.

Also check out the Least Common Multiple of 76235 and 76250