What is the Greatest Common Factor of 20552 and 20562?

Greatest common factor (GCF) of 20552 and 20562 is 2.

GCF(20552,20562) = 2

We will now calculate the prime factors of 20552 and 20562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20552 and 20562.

How to find the GCF of 20552 and 20562?

We will first find the prime factorization of 20552 and 20562. After we will calculate the factors of 20552 and 20562 and find the biggest common factor number .

Step-1: Prime Factorization of 20552

Prime factors of 20552 are 2, 7, 367. Prime factorization of 20552 in exponential form is:

20552 = 2³ × 7¹ × 367¹

Step-2: Prime Factorization of 20562

Prime factors of 20562 are 2, 3, 23, 149. Prime factorization of 20562 in exponential form is:

20562 = 2¹ × 3¹ × 23¹ × 149¹

Step-3: Factors of 20552

List of positive integer factors of 20552 that divides 20552 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 367, 734, 1468, 2569, 2936, 5138, 10276

Step-4: Factors of 20562

List of positive integer factors of 20562 that divides 20552 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 149, 298, 447, 894, 3427, 6854, 10281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20552 and 20562. The biggest common factor number is the GCF number.
So the greatest common factor 20552 and 20562 is 2.

Also check out the Least Common Multiple of 20552 and 20562