What is the Greatest Common Factor of 96965 and 96974?

Greatest common factor (GCF) of 96965 and 96974 is 1.

GCF(96965,96974) = 1

We will now calculate the prime factors of 96965 and 96974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96965 and 96974.

How to find the GCF of 96965 and 96974?

We will first find the prime factorization of 96965 and 96974. After we will calculate the factors of 96965 and 96974 and find the biggest common factor number .

Step-1: Prime Factorization of 96965

Prime factors of 96965 are 5, 11, 41, 43. Prime factorization of 96965 in exponential form is:

96965 = 5¹ × 11¹ × 41¹ × 43¹

Step-2: Prime Factorization of 96974

Prime factors of 96974 are 2, 48487. Prime factorization of 96974 in exponential form is:

96974 = 2¹ × 48487¹

Step-3: Factors of 96965

List of positive integer factors of 96965 that divides 96965 without a remainder.

1, 5, 11, 41, 43, 55, 205, 215, 451, 473, 1763, 2255, 2365, 8815, 19393

Step-4: Factors of 96974

List of positive integer factors of 96974 that divides 96965 without a remainder.

1, 2, 48487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96965 and 96974. The biggest common factor number is the GCF number.
So the greatest common factor 96965 and 96974 is 1.

Also check out the Least Common Multiple of 96965 and 96974