What is the Greatest Common Factor of 20760 and 20778?

Greatest common factor (GCF) of 20760 and 20778 is 6.

GCF(20760,20778) = 6

We will now calculate the prime factors of 20760 and 20778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20760 and 20778.

How to find the GCF of 20760 and 20778?

We will first find the prime factorization of 20760 and 20778. After we will calculate the factors of 20760 and 20778 and find the biggest common factor number .

Step-1: Prime Factorization of 20760

Prime factors of 20760 are 2, 3, 5, 173. Prime factorization of 20760 in exponential form is:

20760 = 2³ × 3¹ × 5¹ × 173¹

Step-2: Prime Factorization of 20778

Prime factors of 20778 are 2, 3, 3463. Prime factorization of 20778 in exponential form is:

20778 = 2¹ × 3¹ × 3463¹

Step-3: Factors of 20760

List of positive integer factors of 20760 that divides 20760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 173, 346, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 3460, 4152, 5190, 6920, 10380

Step-4: Factors of 20778

List of positive integer factors of 20778 that divides 20760 without a remainder.

1, 2, 3, 6, 3463, 6926, 10389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20760 and 20778. The biggest common factor number is the GCF number.
So the greatest common factor 20760 and 20778 is 6.

Also check out the Least Common Multiple of 20760 and 20778