What is the Greatest Common Factor of 97440 and 97446?

Greatest common factor (GCF) of 97440 and 97446 is 6.

GCF(97440,97446) = 6

We will now calculate the prime factors of 97440 and 97446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97440 and 97446.

How to find the GCF of 97440 and 97446?

We will first find the prime factorization of 97440 and 97446. After we will calculate the factors of 97440 and 97446 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97446

Prime factors of 97446 are 2, 3, 109, 149. Prime factorization of 97446 in exponential form is:

97446 = 2¹ × 3¹ × 109¹ × 149¹

Step-3: Factors of 97440

List of positive integer factors of 97440 that divides 97440 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

Step-4: Factors of 97446

List of positive integer factors of 97446 that divides 97440 without a remainder.

1, 2, 3, 6, 109, 149, 218, 298, 327, 447, 654, 894, 16241, 32482, 48723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97440 and 97446. The biggest common factor number is the GCF number.
So the greatest common factor 97440 and 97446 is 6.

Also check out the Least Common Multiple of 97440 and 97446