What is the Greatest Common Factor of 97382 and 97398?

Greatest common factor (GCF) of 97382 and 97398 is 2.

GCF(97382,97398) = 2

We will now calculate the prime factors of 97382 and 97398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97382 and 97398.

How to find the GCF of 97382 and 97398?

We will first find the prime factorization of 97382 and 97398. After we will calculate the factors of 97382 and 97398 and find the biggest common factor number .

Step-1: Prime Factorization of 97382

Prime factors of 97382 are 2, 23, 29, 73. Prime factorization of 97382 in exponential form is:

97382 = 2¹ × 23¹ × 29¹ × 73¹

Step-2: Prime Factorization of 97398

Prime factors of 97398 are 2, 3, 7, 773. Prime factorization of 97398 in exponential form is:

97398 = 2¹ × 3² × 7¹ × 773¹

Step-3: Factors of 97382

List of positive integer factors of 97382 that divides 97382 without a remainder.

1, 2, 23, 29, 46, 58, 73, 146, 667, 1334, 1679, 2117, 3358, 4234, 48691

Step-4: Factors of 97398

List of positive integer factors of 97398 that divides 97382 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 773, 1546, 2319, 4638, 5411, 6957, 10822, 13914, 16233, 32466, 48699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97382 and 97398. The biggest common factor number is the GCF number.
So the greatest common factor 97382 and 97398 is 2.

Also check out the Least Common Multiple of 97382 and 97398