What is the Greatest Common Factor of 30753 and 30761?

Greatest common factor (GCF) of 30753 and 30761 is 1.

GCF(30753,30761) = 1

We will now calculate the prime factors of 30753 and 30761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30753 and 30761.

How to find the GCF of 30753 and 30761?

We will first find the prime factorization of 30753 and 30761. After we will calculate the factors of 30753 and 30761 and find the biggest common factor number .

Step-1: Prime Factorization of 30753

Prime factors of 30753 are 3, 17, 67. Prime factorization of 30753 in exponential form is:

30753 = 3³ × 17¹ × 67¹

Step-2: Prime Factorization of 30761

Prime factors of 30761 are 19, 1619. Prime factorization of 30761 in exponential form is:

30761 = 19¹ × 1619¹

Step-3: Factors of 30753

List of positive integer factors of 30753 that divides 30753 without a remainder.

1, 3, 9, 17, 27, 51, 67, 153, 201, 459, 603, 1139, 1809, 3417, 10251

Step-4: Factors of 30761

List of positive integer factors of 30761 that divides 30753 without a remainder.

1, 19, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30753 and 30761. The biggest common factor number is the GCF number.
So the greatest common factor 30753 and 30761 is 1.

Also check out the Least Common Multiple of 30753 and 30761