What is the Greatest Common Factor of 35730 and 35744?

Greatest common factor (GCF) of 35730 and 35744 is 2.

GCF(35730,35744) = 2

We will now calculate the prime factors of 35730 and 35744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35730 and 35744.

How to find the GCF of 35730 and 35744?

We will first find the prime factorization of 35730 and 35744. After we will calculate the factors of 35730 and 35744 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 35744

Prime factors of 35744 are 2, 1117. Prime factorization of 35744 in exponential form is:

35744 = 2⁵ × 1117¹

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 35744

List of positive integer factors of 35744 that divides 35730 without a remainder.

1, 2, 4, 8, 16, 32, 1117, 2234, 4468, 8936, 17872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35730 and 35744. The biggest common factor number is the GCF number.
So the greatest common factor 35730 and 35744 is 2.

Also check out the Least Common Multiple of 35730 and 35744