What is the Greatest Common Factor of 20065 and 20075?

Greatest common factor (GCF) of 20065 and 20075 is 5.

GCF(20065,20075) = 5

We will now calculate the prime factors of 20065 and 20075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20065 and 20075.

How to find the GCF of 20065 and 20075?

We will first find the prime factorization of 20065 and 20075. After we will calculate the factors of 20065 and 20075 and find the biggest common factor number .

Step-1: Prime Factorization of 20065

Prime factors of 20065 are 5, 4013. Prime factorization of 20065 in exponential form is:

20065 = 5¹ × 4013¹

Step-2: Prime Factorization of 20075

Prime factors of 20075 are 5, 11, 73. Prime factorization of 20075 in exponential form is:

20075 = 5² × 11¹ × 73¹

Step-3: Factors of 20065

List of positive integer factors of 20065 that divides 20065 without a remainder.

1, 5, 4013

Step-4: Factors of 20075

List of positive integer factors of 20075 that divides 20065 without a remainder.

1, 5, 11, 25, 55, 73, 275, 365, 803, 1825, 4015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20065 and 20075. The biggest common factor number is the GCF number.
So the greatest common factor 20065 and 20075 is 5.

Also check out the Least Common Multiple of 20065 and 20075