What is the Greatest Common Factor of 69735 and 69740?

Greatest common factor (GCF) of 69735 and 69740 is 5.

GCF(69735,69740) = 5

We will now calculate the prime factors of 69735 and 69740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69735 and 69740.

How to find the GCF of 69735 and 69740?

We will first find the prime factorization of 69735 and 69740. After we will calculate the factors of 69735 and 69740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69740

Prime factors of 69740 are 2, 5, 11, 317. Prime factorization of 69740 in exponential form is:

69740 = 2² × 5¹ × 11¹ × 317¹

Step-3: Factors of 69735

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

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

Step-4: Factors of 69740

List of positive integer factors of 69740 that divides 69735 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 317, 634, 1268, 1585, 3170, 3487, 6340, 6974, 13948, 17435, 34870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69735 and 69740. The biggest common factor number is the GCF number.
So the greatest common factor 69735 and 69740 is 5.

Also check out the Least Common Multiple of 69735 and 69740