What is the Greatest Common Factor of 75827 and 75840?

Greatest common factor (GCF) of 75827 and 75840 is 1.

GCF(75827,75840) = 1

We will now calculate the prime factors of 75827 and 75840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75827 and 75840.

How to find the GCF of 75827 and 75840?

We will first find the prime factorization of 75827 and 75840. After we will calculate the factors of 75827 and 75840 and find the biggest common factor number .

Step-1: Prime Factorization of 75827

Prime factors of 75827 are 191, 397. Prime factorization of 75827 in exponential form is:

75827 = 191¹ × 397¹

Step-2: 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-3: Factors of 75827

List of positive integer factors of 75827 that divides 75827 without a remainder.

1, 191, 397

Step-4: Factors of 75840

List of positive integer factors of 75840 that divides 75827 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75827 and 75840. The biggest common factor number is the GCF number.
So the greatest common factor 75827 and 75840 is 1.

Also check out the Least Common Multiple of 75827 and 75840