What is the Greatest Common Factor of 96350 and 96362?

Greatest common factor (GCF) of 96350 and 96362 is 2.

GCF(96350,96362) = 2

We will now calculate the prime factors of 96350 and 96362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96350 and 96362.

How to find the GCF of 96350 and 96362?

We will first find the prime factorization of 96350 and 96362. After we will calculate the factors of 96350 and 96362 and find the biggest common factor number .

Step-1: Prime Factorization of 96350

Prime factors of 96350 are 2, 5, 41, 47. Prime factorization of 96350 in exponential form is:

96350 = 2¹ × 5² × 41¹ × 47¹

Step-2: Prime Factorization of 96362

Prime factors of 96362 are 2, 7, 6883. Prime factorization of 96362 in exponential form is:

96362 = 2¹ × 7¹ × 6883¹

Step-3: Factors of 96350

List of positive integer factors of 96350 that divides 96350 without a remainder.

1, 2, 5, 10, 25, 41, 47, 50, 82, 94, 205, 235, 410, 470, 1025, 1175, 1927, 2050, 2350, 3854, 9635, 19270, 48175

Step-4: Factors of 96362

List of positive integer factors of 96362 that divides 96350 without a remainder.

1, 2, 7, 14, 6883, 13766, 48181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96350 and 96362. The biggest common factor number is the GCF number.
So the greatest common factor 96350 and 96362 is 2.

Also check out the Least Common Multiple of 96350 and 96362