What is the Greatest Common Factor of 73435 and 73440?

Greatest common factor (GCF) of 73435 and 73440 is 5.

GCF(73435,73440) = 5

We will now calculate the prime factors of 73435 and 73440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73435 and 73440.

How to find the GCF of 73435 and 73440?

We will first find the prime factorization of 73435 and 73440. After we will calculate the factors of 73435 and 73440 and find the biggest common factor number .

Step-1: Prime Factorization of 73435

Prime factors of 73435 are 5, 19, 773. Prime factorization of 73435 in exponential form is:

73435 = 5¹ × 19¹ × 773¹

Step-2: Prime Factorization of 73440

Prime factors of 73440 are 2, 3, 5, 17. Prime factorization of 73440 in exponential form is:

73440 = 2⁵ × 3³ × 5¹ × 17¹

Step-3: Factors of 73435

List of positive integer factors of 73435 that divides 73435 without a remainder.

1, 5, 19, 95, 773, 3865, 14687

Step-4: Factors of 73440

List of positive integer factors of 73440 that divides 73435 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 32, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 96, 102, 108, 120, 135, 136, 144, 153, 160, 170, 180, 204, 216, 240, 255, 270, 272, 288, 306, 340, 360, 408, 432, 459, 480, 510, 540, 544, 612, 680, 720, 765, 816, 864, 918, 1020, 1080, 1224, 1360, 1440, 1530, 1632, 1836, 2040, 2160, 2295, 2448, 2720, 3060, 3672, 4080, 4320, 4590, 4896, 6120, 7344, 8160, 9180, 12240, 14688, 18360, 24480, 36720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73435 and 73440. The biggest common factor number is the GCF number.
So the greatest common factor 73435 and 73440 is 5.

Also check out the Least Common Multiple of 73435 and 73440