What is the Greatest Common Factor of 96460 and 96472?

Greatest common factor (GCF) of 96460 and 96472 is 4.

GCF(96460,96472) = 4

We will now calculate the prime factors of 96460 and 96472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96460 and 96472.

How to find the GCF of 96460 and 96472?

We will first find the prime factorization of 96460 and 96472. After we will calculate the factors of 96460 and 96472 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 96472

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

96472 = 2³ × 31¹ × 389¹

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 96472

List of positive integer factors of 96472 that divides 96460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96460 and 96472. The biggest common factor number is the GCF number.
So the greatest common factor 96460 and 96472 is 4.

Also check out the Least Common Multiple of 96460 and 96472