What is the Greatest Common Factor of 69730 and 69735?

Greatest common factor (GCF) of 69730 and 69735 is 5.

GCF(69730,69735) = 5

We will now calculate the prime factors of 69730 and 69735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69730 and 69735.

How to find the GCF of 69730 and 69735?

We will first find the prime factorization of 69730 and 69735. After we will calculate the factors of 69730 and 69735 and find the biggest common factor number .

Step-1: Prime Factorization of 69730

Prime factors of 69730 are 2, 5, 19, 367. Prime factorization of 69730 in exponential form is:

69730 = 2¹ × 5¹ × 19¹ × 367¹

Step-2: Prime Factorization of 69735

Prime factors of 69735 are 3, 5, 4649. Prime factorization of 69735 in exponential form is:

69735 = 3¹ × 5¹ × 4649¹

Step-3: Factors of 69730

List of positive integer factors of 69730 that divides 69730 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 367, 734, 1835, 3670, 6973, 13946, 34865

Step-4: Factors of 69735

List of positive integer factors of 69735 that divides 69730 without a remainder.

1, 3, 5, 15, 4649, 13947, 23245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69730 and 69735. The biggest common factor number is the GCF number.
So the greatest common factor 69730 and 69735 is 5.

Also check out the Least Common Multiple of 69730 and 69735