What is the Greatest Common Factor of 97440 and 97454?

Greatest common factor (GCF) of 97440 and 97454 is 14.

GCF(97440,97454) = 14

We will now calculate the prime factors of 97440 and 97454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97440 and 97454.

How to find the GCF of 97440 and 97454?

We will first find the prime factorization of 97440 and 97454. After we will calculate the factors of 97440 and 97454 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 97454

Prime factors of 97454 are 2, 7, 6961. Prime factorization of 97454 in exponential form is:

97454 = 2¹ × 7¹ × 6961¹

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 97454

List of positive integer factors of 97454 that divides 97440 without a remainder.

1, 2, 7, 14, 6961, 13922, 48727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97440 and 97454. The biggest common factor number is the GCF number.
So the greatest common factor 97440 and 97454 is 14.

Also check out the Least Common Multiple of 97440 and 97454