What is the Greatest Common Factor of 75864 and 75877?

Greatest common factor (GCF) of 75864 and 75877 is 1.

GCF(75864,75877) = 1

We will now calculate the prime factors of 75864 and 75877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75864 and 75877.

How to find the GCF of 75864 and 75877?

We will first find the prime factorization of 75864 and 75877. After we will calculate the factors of 75864 and 75877 and find the biggest common factor number .

Step-1: Prime Factorization of 75864

Prime factors of 75864 are 2, 3, 29, 109. Prime factorization of 75864 in exponential form is:

75864 = 2³ × 3¹ × 29¹ × 109¹

Step-2: Prime Factorization of 75877

Prime factors of 75877 are 23, 3299. Prime factorization of 75877 in exponential form is:

75877 = 23¹ × 3299¹

Step-3: Factors of 75864

List of positive integer factors of 75864 that divides 75864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 109, 116, 174, 218, 232, 327, 348, 436, 654, 696, 872, 1308, 2616, 3161, 6322, 9483, 12644, 18966, 25288, 37932

Step-4: Factors of 75877

List of positive integer factors of 75877 that divides 75864 without a remainder.

1, 23, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75864 and 75877. The biggest common factor number is the GCF number.
So the greatest common factor 75864 and 75877 is 1.

Also check out the Least Common Multiple of 75864 and 75877