What is the Greatest Common Factor of 75840 and 75855?

Greatest common factor (GCF) of 75840 and 75855 is 15.

GCF(75840,75855) = 15

We will now calculate the prime factors of 75840 and 75855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75840 and 75855.

How to find the GCF of 75840 and 75855?

We will first find the prime factorization of 75840 and 75855. After we will calculate the factors of 75840 and 75855 and find the biggest common factor number .

Step-1: Prime Factorization of 75840

Prime factors of 75840 are 2, 3, 5, 79. Prime factorization of 75840 in exponential form is:

75840 = 2⁶ × 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 75855

Prime factors of 75855 are 3, 5, 13, 389. Prime factorization of 75855 in exponential form is:

75855 = 3¹ × 5¹ × 13¹ × 389¹

Step-3: Factors of 75840

List of positive integer factors of 75840 that divides 75840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 79, 80, 96, 120, 158, 160, 192, 237, 240, 316, 320, 395, 474, 480, 632, 790, 948, 960, 1185, 1264, 1580, 1896, 2370, 2528, 3160, 3792, 4740, 5056, 6320, 7584, 9480, 12640, 15168, 18960, 25280, 37920

Step-4: Factors of 75855

List of positive integer factors of 75855 that divides 75840 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 389, 1167, 1945, 5057, 5835, 15171, 25285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75840 and 75855. The biggest common factor number is the GCF number.
So the greatest common factor 75840 and 75855 is 15.

Also check out the Least Common Multiple of 75840 and 75855