What is the Greatest Common Factor of 97382 and 97388?

Greatest common factor (GCF) of 97382 and 97388 is 2.

GCF(97382,97388) = 2

We will now calculate the prime factors of 97382 and 97388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97382 and 97388.

How to find the GCF of 97382 and 97388?

We will first find the prime factorization of 97382 and 97388. After we will calculate the factors of 97382 and 97388 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 97388

Prime factors of 97388 are 2, 97, 251. Prime factorization of 97388 in exponential form is:

97388 = 2² × 97¹ × 251¹

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 97388

List of positive integer factors of 97388 that divides 97382 without a remainder.

1, 2, 4, 97, 194, 251, 388, 502, 1004, 24347, 48694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97382 and 97388. The biggest common factor number is the GCF number.
So the greatest common factor 97382 and 97388 is 2.

Also check out the Least Common Multiple of 97382 and 97388