What is the Greatest Common Factor of 97234 and 97250?

Greatest common factor (GCF) of 97234 and 97250 is 2.

GCF(97234,97250) = 2

We will now calculate the prime factors of 97234 and 97250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97234 and 97250.

How to find the GCF of 97234 and 97250?

We will first find the prime factorization of 97234 and 97250. After we will calculate the factors of 97234 and 97250 and find the biggest common factor number .

Step-1: Prime Factorization of 97234

Prime factors of 97234 are 2, 61, 797. Prime factorization of 97234 in exponential form is:

97234 = 2¹ × 61¹ × 797¹

Step-2: Prime Factorization of 97250

Prime factors of 97250 are 2, 5, 389. Prime factorization of 97250 in exponential form is:

97250 = 2¹ × 5³ × 389¹

Step-3: Factors of 97234

List of positive integer factors of 97234 that divides 97234 without a remainder.

1, 2, 61, 122, 797, 1594, 48617

Step-4: Factors of 97250

List of positive integer factors of 97250 that divides 97234 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 389, 778, 1945, 3890, 9725, 19450, 48625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97234 and 97250. The biggest common factor number is the GCF number.
So the greatest common factor 97234 and 97250 is 2.

Also check out the Least Common Multiple of 97234 and 97250