What is the Greatest Common Factor of 20552 and 20570?

Greatest common factor (GCF) of 20552 and 20570 is 2.

GCF(20552,20570) = 2

We will now calculate the prime factors of 20552 and 20570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20552 and 20570.

How to find the GCF of 20552 and 20570?

We will first find the prime factorization of 20552 and 20570. After we will calculate the factors of 20552 and 20570 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 20570

Prime factors of 20570 are 2, 5, 11, 17. Prime factorization of 20570 in exponential form is:

20570 = 2¹ × 5¹ × 11² × 17¹

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 20570

List of positive integer factors of 20570 that divides 20552 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 121, 170, 187, 242, 374, 605, 935, 1210, 1870, 2057, 4114, 10285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20552 and 20570. The biggest common factor number is the GCF number.
So the greatest common factor 20552 and 20570 is 2.

Also check out the Least Common Multiple of 20552 and 20570