What is the Greatest Common Factor of 97438 and 97449?

Greatest common factor (GCF) of 97438 and 97449 is 11.

GCF(97438,97449) = 11

We will now calculate the prime factors of 97438 and 97449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97438 and 97449.

How to find the GCF of 97438 and 97449?

We will first find the prime factorization of 97438 and 97449. After we will calculate the factors of 97438 and 97449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97449

Prime factors of 97449 are 3, 11, 2953. Prime factorization of 97449 in exponential form is:

97449 = 3¹ × 11¹ × 2953¹

Step-3: Factors of 97438

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

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

Step-4: Factors of 97449

List of positive integer factors of 97449 that divides 97438 without a remainder.

1, 3, 11, 33, 2953, 8859, 32483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97438 and 97449. The biggest common factor number is the GCF number.
So the greatest common factor 97438 and 97449 is 11.

Also check out the Least Common Multiple of 97438 and 97449