What is the Greatest Common Factor of 97424 and 97440?

Greatest common factor (GCF) of 97424 and 97440 is 16.

GCF(97424,97440) = 16

We will now calculate the prime factors of 97424 and 97440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97424 and 97440.

How to find the GCF of 97424 and 97440?

We will first find the prime factorization of 97424 and 97440. After we will calculate the factors of 97424 and 97440 and find the biggest common factor number .

Step-1: Prime Factorization of 97424

Prime factors of 97424 are 2, 6089. Prime factorization of 97424 in exponential form is:

97424 = 2⁴ × 6089¹

Step-2: Prime Factorization of 97440

Prime factors of 97440 are 2, 3, 5, 7, 29. Prime factorization of 97440 in exponential form is:

97440 = 2⁵ × 3¹ × 5¹ × 7¹ × 29¹

Step-3: Factors of 97424

List of positive integer factors of 97424 that divides 97424 without a remainder.

1, 2, 4, 8, 16, 6089, 12178, 24356, 48712

Step-4: Factors of 97440

List of positive integer factors of 97440 that divides 97424 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 32, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 96, 105, 112, 116, 120, 140, 145, 160, 168, 174, 203, 210, 224, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 480, 560, 580, 609, 672, 696, 812, 840, 870, 928, 1015, 1120, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 2784, 3045, 3248, 3360, 3480, 4060, 4640, 4872, 6090, 6496, 6960, 8120, 9744, 12180, 13920, 16240, 19488, 24360, 32480, 48720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97424 and 97440. The biggest common factor number is the GCF number.
So the greatest common factor 97424 and 97440 is 16.

Also check out the Least Common Multiple of 97424 and 97440