What is the Greatest Common Factor of 20756 and 20762?

Greatest common factor (GCF) of 20756 and 20762 is 2.

GCF(20756,20762) = 2

We will now calculate the prime factors of 20756 and 20762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20756 and 20762.

How to find the GCF of 20756 and 20762?

We will first find the prime factorization of 20756 and 20762. After we will calculate the factors of 20756 and 20762 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 20762

Prime factors of 20762 are 2, 7, 1483. Prime factorization of 20762 in exponential form is:

20762 = 2¹ × 7¹ × 1483¹

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 20762

List of positive integer factors of 20762 that divides 20756 without a remainder.

1, 2, 7, 14, 1483, 2966, 10381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20756 and 20762. The biggest common factor number is the GCF number.
So the greatest common factor 20756 and 20762 is 2.

Also check out the Least Common Multiple of 20756 and 20762