What is the Greatest Common Factor of 96456 and 96460?

Greatest common factor (GCF) of 96456 and 96460 is 4.

GCF(96456,96460) = 4

We will now calculate the prime factors of 96456 and 96460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96456 and 96460.

How to find the GCF of 96456 and 96460?

We will first find the prime factorization of 96456 and 96460. After we will calculate the factors of 96456 and 96460 and find the biggest common factor number .

Step-1: Prime Factorization of 96456

Prime factors of 96456 are 2, 3, 4019. Prime factorization of 96456 in exponential form is:

96456 = 2³ × 3¹ × 4019¹

Step-2: 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-3: Factors of 96456

List of positive integer factors of 96456 that divides 96456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4019, 8038, 12057, 16076, 24114, 32152, 48228

Step-4: Factors of 96460

List of positive integer factors of 96460 that divides 96456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96456 and 96460. The biggest common factor number is the GCF number.
So the greatest common factor 96456 and 96460 is 4.

Also check out the Least Common Multiple of 96456 and 96460