What is the Greatest Common Factor of 97440 and 97456?

Greatest common factor (GCF) of 97440 and 97456 is 16.

GCF(97440,97456) = 16

We will now calculate the prime factors of 97440 and 97456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97440 and 97456.

How to find the GCF of 97440 and 97456?

We will first find the prime factorization of 97440 and 97456. After we will calculate the factors of 97440 and 97456 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 97456

Prime factors of 97456 are 2, 6091. Prime factorization of 97456 in exponential form is:

97456 = 2⁴ × 6091¹

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 97456

List of positive integer factors of 97456 that divides 97440 without a remainder.

1, 2, 4, 8, 16, 6091, 12182, 24364, 48728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97440 and 97456. The biggest common factor number is the GCF number.
So the greatest common factor 97440 and 97456 is 16.

Also check out the Least Common Multiple of 97440 and 97456