What is the Greatest Common Factor of 97341 and 97350?

Greatest common factor (GCF) of 97341 and 97350 is 3.

GCF(97341,97350) = 3

We will now calculate the prime factors of 97341 and 97350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97341 and 97350.

How to find the GCF of 97341 and 97350?

We will first find the prime factorization of 97341 and 97350. After we will calculate the factors of 97341 and 97350 and find the biggest common factor number .

Step-1: Prime Factorization of 97341

Prime factors of 97341 are 3, 71, 457. Prime factorization of 97341 in exponential form is:

97341 = 3¹ × 71¹ × 457¹

Step-2: Prime Factorization of 97350

Prime factors of 97350 are 2, 3, 5, 11, 59. Prime factorization of 97350 in exponential form is:

97350 = 2¹ × 3¹ × 5² × 11¹ × 59¹

Step-3: Factors of 97341

List of positive integer factors of 97341 that divides 97341 without a remainder.

1, 3, 71, 213, 457, 1371, 32447

Step-4: Factors of 97350

List of positive integer factors of 97350 that divides 97341 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 59, 66, 75, 110, 118, 150, 165, 177, 275, 295, 330, 354, 550, 590, 649, 825, 885, 1298, 1475, 1650, 1770, 1947, 2950, 3245, 3894, 4425, 6490, 8850, 9735, 16225, 19470, 32450, 48675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97341 and 97350. The biggest common factor number is the GCF number.
So the greatest common factor 97341 and 97350 is 3.

Also check out the Least Common Multiple of 97341 and 97350