What is the Greatest Common Factor of 20756 and 20760?

Greatest common factor (GCF) of 20756 and 20760 is 4.

GCF(20756,20760) = 4

We will now calculate the prime factors of 20756 and 20760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20756 and 20760.

How to find the GCF of 20756 and 20760?

We will first find the prime factorization of 20756 and 20760. After we will calculate the factors of 20756 and 20760 and find the biggest common factor number .

Step-1: Prime Factorization of 20756

Prime factors of 20756 are 2, 5189. Prime factorization of 20756 in exponential form is:

20756 = 2² × 5189¹

Step-2: 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-3: Factors of 20756

List of positive integer factors of 20756 that divides 20756 without a remainder.

1, 2, 4, 5189, 10378

Step-4: Factors of 20760

List of positive integer factors of 20760 that divides 20756 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20756 and 20760. The biggest common factor number is the GCF number.
So the greatest common factor 20756 and 20760 is 4.

Also check out the Least Common Multiple of 20756 and 20760