What is the Greatest Common Factor of 20770 and 20784?

Greatest common factor (GCF) of 20770 and 20784 is 2.

GCF(20770,20784) = 2

We will now calculate the prime factors of 20770 and 20784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20770 and 20784.

How to find the GCF of 20770 and 20784?

We will first find the prime factorization of 20770 and 20784. After we will calculate the factors of 20770 and 20784 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 20784

Prime factors of 20784 are 2, 3, 433. Prime factorization of 20784 in exponential form is:

20784 = 2⁴ × 3¹ × 433¹

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 20784

List of positive integer factors of 20784 that divides 20770 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20770 and 20784. The biggest common factor number is the GCF number.
So the greatest common factor 20770 and 20784 is 2.

Also check out the Least Common Multiple of 20770 and 20784