What is the Greatest Common Factor of 97378 and 97384?

Greatest common factor (GCF) of 97378 and 97384 is 2.

GCF(97378,97384) = 2

We will now calculate the prime factors of 97378 and 97384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97378 and 97384.

How to find the GCF of 97378 and 97384?

We will first find the prime factorization of 97378 and 97384. After we will calculate the factors of 97378 and 97384 and find the biggest common factor number .

Step-1: Prime Factorization of 97378

Prime factors of 97378 are 2, 181, 269. Prime factorization of 97378 in exponential form is:

97378 = 2¹ × 181¹ × 269¹

Step-2: 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-3: Factors of 97378

List of positive integer factors of 97378 that divides 97378 without a remainder.

1, 2, 181, 269, 362, 538, 48689

Step-4: Factors of 97384

List of positive integer factors of 97384 that divides 97378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97378 and 97384. The biggest common factor number is the GCF number.
So the greatest common factor 97378 and 97384 is 2.

Also check out the Least Common Multiple of 97378 and 97384