What is the Greatest Common Factor of 96472 and 96482?

Greatest common factor (GCF) of 96472 and 96482 is 2.

GCF(96472,96482) = 2

We will now calculate the prime factors of 96472 and 96482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96472 and 96482.

How to find the GCF of 96472 and 96482?

We will first find the prime factorization of 96472 and 96482. After we will calculate the factors of 96472 and 96482 and find the biggest common factor number .

Step-1: Prime Factorization of 96472

Prime factors of 96472 are 2, 31, 389. Prime factorization of 96472 in exponential form is:

96472 = 2³ × 31¹ × 389¹

Step-2: Prime Factorization of 96482

Prime factors of 96482 are 2, 19, 2539. Prime factorization of 96482 in exponential form is:

96482 = 2¹ × 19¹ × 2539¹

Step-3: Factors of 96472

List of positive integer factors of 96472 that divides 96472 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 389, 778, 1556, 3112, 12059, 24118, 48236

Step-4: Factors of 96482

List of positive integer factors of 96482 that divides 96472 without a remainder.

1, 2, 19, 38, 2539, 5078, 48241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96472 and 96482. The biggest common factor number is the GCF number.
So the greatest common factor 96472 and 96482 is 2.

Also check out the Least Common Multiple of 96472 and 96482