What is the Greatest Common Factor of 35730 and 35735?

Greatest common factor (GCF) of 35730 and 35735 is 5.

GCF(35730,35735) = 5

We will now calculate the prime factors of 35730 and 35735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35730 and 35735.

How to find the GCF of 35730 and 35735?

We will first find the prime factorization of 35730 and 35735. After we will calculate the factors of 35730 and 35735 and find the biggest common factor number .

Step-1: Prime Factorization of 35730

Prime factors of 35730 are 2, 3, 5, 397. Prime factorization of 35730 in exponential form is:

35730 = 2¹ × 3² × 5¹ × 397¹

Step-2: Prime Factorization of 35735

Prime factors of 35735 are 5, 7, 1021. Prime factorization of 35735 in exponential form is:

35735 = 5¹ × 7¹ × 1021¹

Step-3: Factors of 35730

List of positive integer factors of 35730 that divides 35730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 397, 794, 1191, 1985, 2382, 3573, 3970, 5955, 7146, 11910, 17865

Step-4: Factors of 35735

List of positive integer factors of 35735 that divides 35730 without a remainder.

1, 5, 7, 35, 1021, 5105, 7147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35730 and 35735. The biggest common factor number is the GCF number.
So the greatest common factor 35730 and 35735 is 5.

Also check out the Least Common Multiple of 35730 and 35735