What is the Greatest Common Factor of 20762 and 20778?

Greatest common factor (GCF) of 20762 and 20778 is 2.

GCF(20762,20778) = 2

We will now calculate the prime factors of 20762 and 20778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20762 and 20778.

How to find the GCF of 20762 and 20778?

We will first find the prime factorization of 20762 and 20778. After we will calculate the factors of 20762 and 20778 and find the biggest common factor number .

Step-1: 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-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 20762

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

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

Step-4: Factors of 20778

List of positive integer factors of 20778 that divides 20762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20762 and 20778. The biggest common factor number is the GCF number.
So the greatest common factor 20762 and 20778 is 2.

Also check out the Least Common Multiple of 20762 and 20778