What is the Greatest Common Factor of 52735 and 52740?

Greatest common factor (GCF) of 52735 and 52740 is 5.

GCF(52735,52740) = 5

We will now calculate the prime factors of 52735 and 52740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52735 and 52740.

How to find the GCF of 52735 and 52740?

We will first find the prime factorization of 52735 and 52740. After we will calculate the factors of 52735 and 52740 and find the biggest common factor number .

Step-1: Prime Factorization of 52735

Prime factors of 52735 are 5, 53, 199. Prime factorization of 52735 in exponential form is:

52735 = 5¹ × 53¹ × 199¹

Step-2: Prime Factorization of 52740

Prime factors of 52740 are 2, 3, 5, 293. Prime factorization of 52740 in exponential form is:

52740 = 2² × 3² × 5¹ × 293¹

Step-3: Factors of 52735

List of positive integer factors of 52735 that divides 52735 without a remainder.

1, 5, 53, 199, 265, 995, 10547

Step-4: Factors of 52740

List of positive integer factors of 52740 that divides 52735 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 293, 586, 879, 1172, 1465, 1758, 2637, 2930, 3516, 4395, 5274, 5860, 8790, 10548, 13185, 17580, 26370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52735 and 52740. The biggest common factor number is the GCF number.
So the greatest common factor 52735 and 52740 is 5.

Also check out the Least Common Multiple of 52735 and 52740