What is the Greatest Common Factor of 96474 and 96488?

Greatest common factor (GCF) of 96474 and 96488 is 14.

GCF(96474,96488) = 14

We will now calculate the prime factors of 96474 and 96488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96474 and 96488.

How to find the GCF of 96474 and 96488?

We will first find the prime factorization of 96474 and 96488. After we will calculate the factors of 96474 and 96488 and find the biggest common factor number .

Step-1: Prime Factorization of 96474

Prime factors of 96474 are 2, 3, 7, 2297. Prime factorization of 96474 in exponential form is:

96474 = 2¹ × 3¹ × 7¹ × 2297¹

Step-2: 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-3: Factors of 96474

List of positive integer factors of 96474 that divides 96474 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2297, 4594, 6891, 13782, 16079, 32158, 48237

Step-4: Factors of 96488

List of positive integer factors of 96488 that divides 96474 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96474 and 96488. The biggest common factor number is the GCF number.
So the greatest common factor 96474 and 96488 is 14.

Also check out the Least Common Multiple of 96474 and 96488