What is the Greatest Common Factor of 97427 and 97438?

Greatest common factor (GCF) of 97427 and 97438 is 11.

GCF(97427,97438) = 11

We will now calculate the prime factors of 97427 and 97438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97427 and 97438.

How to find the GCF of 97427 and 97438?

We will first find the prime factorization of 97427 and 97438. After we will calculate the factors of 97427 and 97438 and find the biggest common factor number .

Step-1: Prime Factorization of 97427

Prime factors of 97427 are 11, 17, 521. Prime factorization of 97427 in exponential form is:

97427 = 11¹ × 17¹ × 521¹

Step-2: Prime Factorization of 97438

Prime factors of 97438 are 2, 11, 43, 103. Prime factorization of 97438 in exponential form is:

97438 = 2¹ × 11¹ × 43¹ × 103¹

Step-3: Factors of 97427

List of positive integer factors of 97427 that divides 97427 without a remainder.

1, 11, 17, 187, 521, 5731, 8857

Step-4: Factors of 97438

List of positive integer factors of 97438 that divides 97427 without a remainder.

1, 2, 11, 22, 43, 86, 103, 206, 473, 946, 1133, 2266, 4429, 8858, 48719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97427 and 97438. The biggest common factor number is the GCF number.
So the greatest common factor 97427 and 97438 is 11.

Also check out the Least Common Multiple of 97427 and 97438