What is the Greatest Common Factor of 96488 and 96494?

Greatest common factor (GCF) of 96488 and 96494 is 2.

GCF(96488,96494) = 2

We will now calculate the prime factors of 96488 and 96494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96488 and 96494.

How to find the GCF of 96488 and 96494?

We will first find the prime factorization of 96488 and 96494. After we will calculate the factors of 96488 and 96494 and find the biggest common factor number .

Step-1: Prime Factorization of 96488

Prime factors of 96488 are 2, 7, 1723. Prime factorization of 96488 in exponential form is:

96488 = 2³ × 7¹ × 1723¹

Step-2: Prime Factorization of 96494

Prime factors of 96494 are 2, 48247. Prime factorization of 96494 in exponential form is:

96494 = 2¹ × 48247¹

Step-3: Factors of 96488

List of positive integer factors of 96488 that divides 96488 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1723, 3446, 6892, 12061, 13784, 24122, 48244

Step-4: Factors of 96494

List of positive integer factors of 96494 that divides 96488 without a remainder.

1, 2, 48247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96488 and 96494. The biggest common factor number is the GCF number.
So the greatest common factor 96488 and 96494 is 2.

Also check out the Least Common Multiple of 96488 and 96494