What is the Greatest Common Factor of 20769 and 20783?

Greatest common factor (GCF) of 20769 and 20783 is 7.

GCF(20769,20783) = 7

We will now calculate the prime factors of 20769 and 20783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20769 and 20783.

How to find the GCF of 20769 and 20783?

We will first find the prime factorization of 20769 and 20783. After we will calculate the factors of 20769 and 20783 and find the biggest common factor number .

Step-1: Prime Factorization of 20769

Prime factors of 20769 are 3, 7, 23, 43. Prime factorization of 20769 in exponential form is:

20769 = 3¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 20783

Prime factors of 20783 are 7, 2969. Prime factorization of 20783 in exponential form is:

20783 = 7¹ × 2969¹

Step-3: Factors of 20769

List of positive integer factors of 20769 that divides 20769 without a remainder.

1, 3, 7, 21, 23, 43, 69, 129, 161, 301, 483, 903, 989, 2967, 6923

Step-4: Factors of 20783

List of positive integer factors of 20783 that divides 20769 without a remainder.

1, 7, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20769 and 20783. The biggest common factor number is the GCF number.
So the greatest common factor 20769 and 20783 is 7.

Also check out the Least Common Multiple of 20769 and 20783