What is the Greatest Common Factor of 20757 and 20766?

Greatest common factor (GCF) of 20757 and 20766 is 3.

GCF(20757,20766) = 3

We will now calculate the prime factors of 20757 and 20766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20757 and 20766.

How to find the GCF of 20757 and 20766?

We will first find the prime factorization of 20757 and 20766. After we will calculate the factors of 20757 and 20766 and find the biggest common factor number .

Step-1: Prime Factorization of 20757

Prime factors of 20757 are 3, 11, 17, 37. Prime factorization of 20757 in exponential form is:

20757 = 3¹ × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 20766

Prime factors of 20766 are 2, 3, 3461. Prime factorization of 20766 in exponential form is:

20766 = 2¹ × 3¹ × 3461¹

Step-3: Factors of 20757

List of positive integer factors of 20757 that divides 20757 without a remainder.

1, 3, 11, 17, 33, 37, 51, 111, 187, 407, 561, 629, 1221, 1887, 6919

Step-4: Factors of 20766

List of positive integer factors of 20766 that divides 20757 without a remainder.

1, 2, 3, 6, 3461, 6922, 10383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20757 and 20766. The biggest common factor number is the GCF number.
So the greatest common factor 20757 and 20766 is 3.

Also check out the Least Common Multiple of 20757 and 20766