What is the Greatest Common Factor of 97394 and 97408?

Greatest common factor (GCF) of 97394 and 97408 is 2.

GCF(97394,97408) = 2

We will now calculate the prime factors of 97394 and 97408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97394 and 97408.

How to find the GCF of 97394 and 97408?

We will first find the prime factorization of 97394 and 97408. After we will calculate the factors of 97394 and 97408 and find the biggest common factor number .

Step-1: Prime Factorization of 97394

Prime factors of 97394 are 2, 11, 19, 233. Prime factorization of 97394 in exponential form is:

97394 = 2¹ × 11¹ × 19¹ × 233¹

Step-2: Prime Factorization of 97408

Prime factors of 97408 are 2, 761. Prime factorization of 97408 in exponential form is:

97408 = 2⁷ × 761¹

Step-3: Factors of 97394

List of positive integer factors of 97394 that divides 97394 without a remainder.

1, 2, 11, 19, 22, 38, 209, 233, 418, 466, 2563, 4427, 5126, 8854, 48697

Step-4: Factors of 97408

List of positive integer factors of 97408 that divides 97394 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 761, 1522, 3044, 6088, 12176, 24352, 48704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97394 and 97408. The biggest common factor number is the GCF number.
So the greatest common factor 97394 and 97408 is 2.

Also check out the Least Common Multiple of 97394 and 97408