What is the Greatest Common Factor of 52705 and 52720?

Greatest common factor (GCF) of 52705 and 52720 is 5.

GCF(52705,52720) = 5

We will now calculate the prime factors of 52705 and 52720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52705 and 52720.

How to find the GCF of 52705 and 52720?

We will first find the prime factorization of 52705 and 52720. After we will calculate the factors of 52705 and 52720 and find the biggest common factor number .

Step-1: Prime Factorization of 52705

Prime factors of 52705 are 5, 83, 127. Prime factorization of 52705 in exponential form is:

52705 = 5¹ × 83¹ × 127¹

Step-2: Prime Factorization of 52720

Prime factors of 52720 are 2, 5, 659. Prime factorization of 52720 in exponential form is:

52720 = 2⁴ × 5¹ × 659¹

Step-3: Factors of 52705

List of positive integer factors of 52705 that divides 52705 without a remainder.

1, 5, 83, 127, 415, 635, 10541

Step-4: Factors of 52720

List of positive integer factors of 52720 that divides 52705 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 659, 1318, 2636, 3295, 5272, 6590, 10544, 13180, 26360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52705 and 52720. The biggest common factor number is the GCF number.
So the greatest common factor 52705 and 52720 is 5.

Also check out the Least Common Multiple of 52705 and 52720