What is the Greatest Common Factor of 20751 and 20769?

Greatest common factor (GCF) of 20751 and 20769 is 3.

GCF(20751,20769) = 3

We will now calculate the prime factors of 20751 and 20769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20751 and 20769.

How to find the GCF of 20751 and 20769?

We will first find the prime factorization of 20751 and 20769. After we will calculate the factors of 20751 and 20769 and find the biggest common factor number .

Step-1: Prime Factorization of 20751

Prime factors of 20751 are 3, 6917. Prime factorization of 20751 in exponential form is:

20751 = 3¹ × 6917¹

Step-2: 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-3: Factors of 20751

List of positive integer factors of 20751 that divides 20751 without a remainder.

1, 3, 6917

Step-4: Factors of 20769

List of positive integer factors of 20769 that divides 20751 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20751 and 20769. The biggest common factor number is the GCF number.
So the greatest common factor 20751 and 20769 is 3.

Also check out the Least Common Multiple of 20751 and 20769