What is the Greatest Common Factor of 20765 and 20770?

Greatest common factor (GCF) of 20765 and 20770 is 5.

GCF(20765,20770) = 5

We will now calculate the prime factors of 20765 and 20770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20765 and 20770.

How to find the GCF of 20765 and 20770?

We will first find the prime factorization of 20765 and 20770. After we will calculate the factors of 20765 and 20770 and find the biggest common factor number .

Step-1: Prime Factorization of 20765

Prime factors of 20765 are 5, 4153. Prime factorization of 20765 in exponential form is:

20765 = 5¹ × 4153¹

Step-2: Prime Factorization of 20770

Prime factors of 20770 are 2, 5, 31, 67. Prime factorization of 20770 in exponential form is:

20770 = 2¹ × 5¹ × 31¹ × 67¹

Step-3: Factors of 20765

List of positive integer factors of 20765 that divides 20765 without a remainder.

1, 5, 4153

Step-4: Factors of 20770

List of positive integer factors of 20770 that divides 20765 without a remainder.

1, 2, 5, 10, 31, 62, 67, 134, 155, 310, 335, 670, 2077, 4154, 10385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20765 and 20770. The biggest common factor number is the GCF number.
So the greatest common factor 20765 and 20770 is 5.

Also check out the Least Common Multiple of 20765 and 20770