What is the Greatest Common Factor of 54705 and 54715?

Greatest common factor (GCF) of 54705 and 54715 is 5.

GCF(54705,54715) = 5

We will now calculate the prime factors of 54705 and 54715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54705 and 54715.

How to find the GCF of 54705 and 54715?

We will first find the prime factorization of 54705 and 54715. After we will calculate the factors of 54705 and 54715 and find the biggest common factor number .

Step-1: Prime Factorization of 54705

Prime factors of 54705 are 3, 5, 7, 521. Prime factorization of 54705 in exponential form is:

54705 = 3¹ × 5¹ × 7¹ × 521¹

Step-2: Prime Factorization of 54715

Prime factors of 54715 are 5, 31, 353. Prime factorization of 54715 in exponential form is:

54715 = 5¹ × 31¹ × 353¹

Step-3: Factors of 54705

List of positive integer factors of 54705 that divides 54705 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 521, 1563, 2605, 3647, 7815, 10941, 18235

Step-4: Factors of 54715

List of positive integer factors of 54715 that divides 54705 without a remainder.

1, 5, 31, 155, 353, 1765, 10943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54705 and 54715. The biggest common factor number is the GCF number.
So the greatest common factor 54705 and 54715 is 5.

Also check out the Least Common Multiple of 54705 and 54715