What is the Greatest Common Factor of 97478 and 97484?

Greatest common factor (GCF) of 97478 and 97484 is 2.

GCF(97478,97484) = 2

We will now calculate the prime factors of 97478 and 97484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97478 and 97484.

How to find the GCF of 97478 and 97484?

We will first find the prime factorization of 97478 and 97484. After we will calculate the factors of 97478 and 97484 and find the biggest common factor number .

Step-1: Prime Factorization of 97478

Prime factors of 97478 are 2, 17, 47, 61. Prime factorization of 97478 in exponential form is:

97478 = 2¹ × 17¹ × 47¹ × 61¹

Step-2: Prime Factorization of 97484

Prime factors of 97484 are 2, 24371. Prime factorization of 97484 in exponential form is:

97484 = 2² × 24371¹

Step-3: Factors of 97478

List of positive integer factors of 97478 that divides 97478 without a remainder.

1, 2, 17, 34, 47, 61, 94, 122, 799, 1037, 1598, 2074, 2867, 5734, 48739

Step-4: Factors of 97484

List of positive integer factors of 97484 that divides 97478 without a remainder.

1, 2, 4, 24371, 48742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97478 and 97484. The biggest common factor number is the GCF number.
So the greatest common factor 97478 and 97484 is 2.

Also check out the Least Common Multiple of 97478 and 97484