What is the Greatest Common Factor of 20705 and 20715?

Greatest common factor (GCF) of 20705 and 20715 is 5.

GCF(20705,20715) = 5

We will now calculate the prime factors of 20705 and 20715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20705 and 20715.

How to find the GCF of 20705 and 20715?

We will first find the prime factorization of 20705 and 20715. After we will calculate the factors of 20705 and 20715 and find the biggest common factor number .

Step-1: Prime Factorization of 20705

Prime factors of 20705 are 5, 41, 101. Prime factorization of 20705 in exponential form is:

20705 = 5¹ × 41¹ × 101¹

Step-2: Prime Factorization of 20715

Prime factors of 20715 are 3, 5, 1381. Prime factorization of 20715 in exponential form is:

20715 = 3¹ × 5¹ × 1381¹

Step-3: Factors of 20705

List of positive integer factors of 20705 that divides 20705 without a remainder.

1, 5, 41, 101, 205, 505, 4141

Step-4: Factors of 20715

List of positive integer factors of 20715 that divides 20705 without a remainder.

1, 3, 5, 15, 1381, 4143, 6905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20705 and 20715. The biggest common factor number is the GCF number.
So the greatest common factor 20705 and 20715 is 5.

Also check out the Least Common Multiple of 20705 and 20715