What is the Greatest Common Factor of 97471 and 97478?

Greatest common factor (GCF) of 97471 and 97478 is 1.

GCF(97471,97478) = 1

We will now calculate the prime factors of 97471 and 97478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97471 and 97478.

How to find the GCF of 97471 and 97478?

We will first find the prime factorization of 97471 and 97478. After we will calculate the factors of 97471 and 97478 and find the biggest common factor number .

Step-1: Prime Factorization of 97471

Prime factors of 97471 are 11, 8861. Prime factorization of 97471 in exponential form is:

97471 = 11¹ × 8861¹

Step-2: 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-3: Factors of 97471

List of positive integer factors of 97471 that divides 97471 without a remainder.

1, 11, 8861

Step-4: Factors of 97478

List of positive integer factors of 97478 that divides 97471 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97471 and 97478. The biggest common factor number is the GCF number.
So the greatest common factor 97471 and 97478 is 1.

Also check out the Least Common Multiple of 97471 and 97478