What is the Greatest Common Factor of 97250 and 97266?

Greatest common factor (GCF) of 97250 and 97266 is 2.

GCF(97250,97266) = 2

We will now calculate the prime factors of 97250 and 97266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97250 and 97266.

How to find the GCF of 97250 and 97266?

We will first find the prime factorization of 97250 and 97266. After we will calculate the factors of 97250 and 97266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97266

Prime factors of 97266 are 2, 3, 13, 29, 43. Prime factorization of 97266 in exponential form is:

97266 = 2¹ × 3¹ × 13¹ × 29¹ × 43¹

Step-3: Factors of 97250

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

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

Step-4: Factors of 97266

List of positive integer factors of 97266 that divides 97250 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 43, 58, 78, 86, 87, 129, 174, 258, 377, 559, 754, 1118, 1131, 1247, 1677, 2262, 2494, 3354, 3741, 7482, 16211, 32422, 48633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97250 and 97266. The biggest common factor number is the GCF number.
So the greatest common factor 97250 and 97266 is 2.

Also check out the Least Common Multiple of 97250 and 97266