What is the Greatest Common Factor of 97384 and 97391?

Greatest common factor (GCF) of 97384 and 97391 is 7.

GCF(97384,97391) = 7

We will now calculate the prime factors of 97384 and 97391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97384 and 97391.

How to find the GCF of 97384 and 97391?

We will first find the prime factorization of 97384 and 97391. After we will calculate the factors of 97384 and 97391 and find the biggest common factor number .

Step-1: Prime Factorization of 97384

Prime factors of 97384 are 2, 7, 37, 47. Prime factorization of 97384 in exponential form is:

97384 = 2³ × 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 97391

Prime factors of 97391 are 7, 13913. Prime factorization of 97391 in exponential form is:

97391 = 7¹ × 13913¹

Step-3: Factors of 97384

List of positive integer factors of 97384 that divides 97384 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 47, 56, 74, 94, 148, 188, 259, 296, 329, 376, 518, 658, 1036, 1316, 1739, 2072, 2632, 3478, 6956, 12173, 13912, 24346, 48692

Step-4: Factors of 97391

List of positive integer factors of 97391 that divides 97384 without a remainder.

1, 7, 13913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97384 and 97391. The biggest common factor number is the GCF number.
So the greatest common factor 97384 and 97391 is 7.

Also check out the Least Common Multiple of 97384 and 97391