What is the Greatest Common Factor of 75765 and 75772?

Greatest common factor (GCF) of 75765 and 75772 is 1.

GCF(75765,75772) = 1

We will now calculate the prime factors of 75765 and 75772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75765 and 75772.

How to find the GCF of 75765 and 75772?

We will first find the prime factorization of 75765 and 75772. After we will calculate the factors of 75765 and 75772 and find the biggest common factor number .

Step-1: Prime Factorization of 75765

Prime factors of 75765 are 3, 5, 5051. Prime factorization of 75765 in exponential form is:

75765 = 3¹ × 5¹ × 5051¹

Step-2: Prime Factorization of 75772

Prime factors of 75772 are 2, 19, 997. Prime factorization of 75772 in exponential form is:

75772 = 2² × 19¹ × 997¹

Step-3: Factors of 75765

List of positive integer factors of 75765 that divides 75765 without a remainder.

1, 3, 5, 15, 5051, 15153, 25255

Step-4: Factors of 75772

List of positive integer factors of 75772 that divides 75765 without a remainder.

1, 2, 4, 19, 38, 76, 997, 1994, 3988, 18943, 37886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75765 and 75772. The biggest common factor number is the GCF number.
So the greatest common factor 75765 and 75772 is 1.

Also check out the Least Common Multiple of 75765 and 75772