What is the Greatest Common Factor of 20770 and 20786?

Greatest common factor (GCF) of 20770 and 20786 is 2.

GCF(20770,20786) = 2

We will now calculate the prime factors of 20770 and 20786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20770 and 20786.

How to find the GCF of 20770 and 20786?

We will first find the prime factorization of 20770 and 20786. After we will calculate the factors of 20770 and 20786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20786

Prime factors of 20786 are 2, 19, 547. Prime factorization of 20786 in exponential form is:

20786 = 2¹ × 19¹ × 547¹

Step-3: Factors of 20770

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

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

Step-4: Factors of 20786

List of positive integer factors of 20786 that divides 20770 without a remainder.

1, 2, 19, 38, 547, 1094, 10393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20770 and 20786. The biggest common factor number is the GCF number.
So the greatest common factor 20770 and 20786 is 2.

Also check out the Least Common Multiple of 20770 and 20786