What is the Greatest Common Factor of 42705 and 42715?

Greatest common factor (GCF) of 42705 and 42715 is 5.

GCF(42705,42715) = 5

We will now calculate the prime factors of 42705 and 42715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42705 and 42715.

How to find the GCF of 42705 and 42715?

We will first find the prime factorization of 42705 and 42715. After we will calculate the factors of 42705 and 42715 and find the biggest common factor number .

Step-1: Prime Factorization of 42705

Prime factors of 42705 are 3, 5, 13, 73. Prime factorization of 42705 in exponential form is:

42705 = 3² × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 42715

Prime factors of 42715 are 5, 8543. Prime factorization of 42715 in exponential form is:

42715 = 5¹ × 8543¹

Step-3: Factors of 42705

List of positive integer factors of 42705 that divides 42705 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 73, 117, 195, 219, 365, 585, 657, 949, 1095, 2847, 3285, 4745, 8541, 14235

Step-4: Factors of 42715

List of positive integer factors of 42715 that divides 42705 without a remainder.

1, 5, 8543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42705 and 42715. The biggest common factor number is the GCF number.
So the greatest common factor 42705 and 42715 is 5.

Also check out the Least Common Multiple of 42705 and 42715