What is the Greatest Common Factor of 30735 and 30746?

Greatest common factor (GCF) of 30735 and 30746 is 1.

GCF(30735,30746) = 1

We will now calculate the prime factors of 30735 and 30746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30735 and 30746.

How to find the GCF of 30735 and 30746?

We will first find the prime factorization of 30735 and 30746. After we will calculate the factors of 30735 and 30746 and find the biggest common factor number .

Step-1: Prime Factorization of 30735

Prime factors of 30735 are 3, 5, 683. Prime factorization of 30735 in exponential form is:

30735 = 3² × 5¹ × 683¹

Step-2: Prime Factorization of 30746

Prime factors of 30746 are 2, 15373. Prime factorization of 30746 in exponential form is:

30746 = 2¹ × 15373¹

Step-3: Factors of 30735

List of positive integer factors of 30735 that divides 30735 without a remainder.

1, 3, 5, 9, 15, 45, 683, 2049, 3415, 6147, 10245

Step-4: Factors of 30746

List of positive integer factors of 30746 that divides 30735 without a remainder.

1, 2, 15373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30735 and 30746. The biggest common factor number is the GCF number.
So the greatest common factor 30735 and 30746 is 1.

Also check out the Least Common Multiple of 30735 and 30746