What is the Greatest Common Factor of 76250 and 76259?

Greatest common factor (GCF) of 76250 and 76259 is 1.

GCF(76250,76259) = 1

We will now calculate the prime factors of 76250 and 76259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76250 and 76259.

How to find the GCF of 76250 and 76259?

We will first find the prime factorization of 76250 and 76259. After we will calculate the factors of 76250 and 76259 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76259

Prime factors of 76259 are 76259. Prime factorization of 76259 in exponential form is:

76259 = 76259¹

Step-3: Factors of 76250

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

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

Step-4: Factors of 76259

List of positive integer factors of 76259 that divides 76250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76250 and 76259. The biggest common factor number is the GCF number.
So the greatest common factor 76250 and 76259 is 1.

Also check out the Least Common Multiple of 76250 and 76259