What is the Greatest Common Factor of 75727 and 75732?

Greatest common factor (GCF) of 75727 and 75732 is 1.

GCF(75727,75732) = 1

We will now calculate the prime factors of 75727 and 75732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75727 and 75732.

How to find the GCF of 75727 and 75732?

We will first find the prime factorization of 75727 and 75732. After we will calculate the factors of 75727 and 75732 and find the biggest common factor number .

Step-1: Prime Factorization of 75727

Prime factors of 75727 are 41, 1847. Prime factorization of 75727 in exponential form is:

75727 = 41¹ × 1847¹

Step-2: Prime Factorization of 75732

Prime factors of 75732 are 2, 3, 6311. Prime factorization of 75732 in exponential form is:

75732 = 2² × 3¹ × 6311¹

Step-3: Factors of 75727

List of positive integer factors of 75727 that divides 75727 without a remainder.

1, 41, 1847

Step-4: Factors of 75732

List of positive integer factors of 75732 that divides 75727 without a remainder.

1, 2, 3, 4, 6, 12, 6311, 12622, 18933, 25244, 37866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75727 and 75732. The biggest common factor number is the GCF number.
So the greatest common factor 75727 and 75732 is 1.

Also check out the Least Common Multiple of 75727 and 75732