What is the Greatest Common Factor of 20282 and 20300?

Greatest common factor (GCF) of 20282 and 20300 is 2.

GCF(20282,20300) = 2

We will now calculate the prime factors of 20282 and 20300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20282 and 20300.

How to find the GCF of 20282 and 20300?

We will first find the prime factorization of 20282 and 20300. After we will calculate the factors of 20282 and 20300 and find the biggest common factor number .

Step-1: Prime Factorization of 20282

Prime factors of 20282 are 2, 10141. Prime factorization of 20282 in exponential form is:

20282 = 2¹ × 10141¹

Step-2: Prime Factorization of 20300

Prime factors of 20300 are 2, 5, 7, 29. Prime factorization of 20300 in exponential form is:

20300 = 2² × 5² × 7¹ × 29¹

Step-3: Factors of 20282

List of positive integer factors of 20282 that divides 20282 without a remainder.

1, 2, 10141

Step-4: Factors of 20300

List of positive integer factors of 20300 that divides 20282 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 29, 35, 50, 58, 70, 100, 116, 140, 145, 175, 203, 290, 350, 406, 580, 700, 725, 812, 1015, 1450, 2030, 2900, 4060, 5075, 10150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20282 and 20300. The biggest common factor number is the GCF number.
So the greatest common factor 20282 and 20300 is 2.

Also check out the Least Common Multiple of 20282 and 20300