What is the Greatest Common Factor of 97478 and 97498?

Greatest common factor (GCF) of 97478 and 97498 is 2.

GCF(97478,97498) = 2

We will now calculate the prime factors of 97478 and 97498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97478 and 97498.

How to find the GCF of 97478 and 97498?

We will first find the prime factorization of 97478 and 97498. After we will calculate the factors of 97478 and 97498 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 97498

Prime factors of 97498 are 2, 29, 41. Prime factorization of 97498 in exponential form is:

97498 = 2¹ × 29¹ × 41²

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 97498

List of positive integer factors of 97498 that divides 97478 without a remainder.

1, 2, 29, 41, 58, 82, 1189, 1681, 2378, 3362, 48749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97478 and 97498. The biggest common factor number is the GCF number.
So the greatest common factor 97478 and 97498 is 2.

Also check out the Least Common Multiple of 97478 and 97498