What is the Greatest Common Factor of 76250 and 76261?

Greatest common factor (GCF) of 76250 and 76261 is 1.

GCF(76250,76261) = 1

We will now calculate the prime factors of 76250 and 76261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76250 and 76261.

How to find the GCF of 76250 and 76261?

We will first find the prime factorization of 76250 and 76261. After we will calculate the factors of 76250 and 76261 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 76261

Prime factors of 76261 are 76261. Prime factorization of 76261 in exponential form is:

76261 = 76261¹

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 76261

List of positive integer factors of 76261 that divides 76250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76250 and 76261. The biggest common factor number is the GCF number.
So the greatest common factor 76250 and 76261 is 1.

Also check out the Least Common Multiple of 76250 and 76261