What is the Greatest Common Factor of 75753 and 75772?

Greatest common factor (GCF) of 75753 and 75772 is 19.

GCF(75753,75772) = 19

We will now calculate the prime factors of 75753 and 75772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75753 and 75772.

How to find the GCF of 75753 and 75772?

We will first find the prime factorization of 75753 and 75772. After we will calculate the factors of 75753 and 75772 and find the biggest common factor number .

Step-1: Prime Factorization of 75753

Prime factors of 75753 are 3, 19, 443. Prime factorization of 75753 in exponential form is:

75753 = 3² × 19¹ × 443¹

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 75753

List of positive integer factors of 75753 that divides 75753 without a remainder.

1, 3, 9, 19, 57, 171, 443, 1329, 3987, 8417, 25251

Step-4: Factors of 75772

List of positive integer factors of 75772 that divides 75753 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 75753 and 75772. The biggest common factor number is the GCF number.
So the greatest common factor 75753 and 75772 is 19.

Also check out the Least Common Multiple of 75753 and 75772