What is the Greatest Common Factor of 96460 and 96475?

Greatest common factor (GCF) of 96460 and 96475 is 5.

GCF(96460,96475) = 5

We will now calculate the prime factors of 96460 and 96475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96460 and 96475.

How to find the GCF of 96460 and 96475?

We will first find the prime factorization of 96460 and 96475. After we will calculate the factors of 96460 and 96475 and find the biggest common factor number .

Step-1: Prime Factorization of 96460

Prime factors of 96460 are 2, 5, 7, 13, 53. Prime factorization of 96460 in exponential form is:

96460 = 2² × 5¹ × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 96475

Prime factors of 96475 are 5, 17, 227. Prime factorization of 96475 in exponential form is:

96475 = 5² × 17¹ × 227¹

Step-3: Factors of 96460

List of positive integer factors of 96460 that divides 96460 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 53, 65, 70, 91, 106, 130, 140, 182, 212, 260, 265, 364, 371, 455, 530, 689, 742, 910, 1060, 1378, 1484, 1820, 1855, 2756, 3445, 3710, 4823, 6890, 7420, 9646, 13780, 19292, 24115, 48230

Step-4: Factors of 96475

List of positive integer factors of 96475 that divides 96460 without a remainder.

1, 5, 17, 25, 85, 227, 425, 1135, 3859, 5675, 19295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96460 and 96475. The biggest common factor number is the GCF number.
So the greatest common factor 96460 and 96475 is 5.

Also check out the Least Common Multiple of 96460 and 96475