What is the Greatest Common Factor of 76234 and 76250?

Greatest common factor (GCF) of 76234 and 76250 is 2.

GCF(76234,76250) = 2

We will now calculate the prime factors of 76234 and 76250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76234 and 76250.

How to find the GCF of 76234 and 76250?

We will first find the prime factorization of 76234 and 76250. After we will calculate the factors of 76234 and 76250 and find the biggest common factor number .

Step-1: Prime Factorization of 76234

Prime factors of 76234 are 2, 47, 811. Prime factorization of 76234 in exponential form is:

76234 = 2¹ × 47¹ × 811¹

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 76234

List of positive integer factors of 76234 that divides 76234 without a remainder.

1, 2, 47, 94, 811, 1622, 38117

Step-4: Factors of 76250

List of positive integer factors of 76250 that divides 76234 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 76234 and 76250. The biggest common factor number is the GCF number.
So the greatest common factor 76234 and 76250 is 2.

Also check out the Least Common Multiple of 76234 and 76250