What is the Greatest Common Factor of 20100 and 20117?

Greatest common factor (GCF) of 20100 and 20117 is 1.

GCF(20100,20117) = 1

We will now calculate the prime factors of 20100 and 20117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20100 and 20117.

How to find the GCF of 20100 and 20117?

We will first find the prime factorization of 20100 and 20117. After we will calculate the factors of 20100 and 20117 and find the biggest common factor number .

Step-1: Prime Factorization of 20100

Prime factors of 20100 are 2, 3, 5, 67. Prime factorization of 20100 in exponential form is:

20100 = 2² × 3¹ × 5² × 67¹

Step-2: Prime Factorization of 20117

Prime factors of 20117 are 20117. Prime factorization of 20117 in exponential form is:

20117 = 20117¹

Step-3: Factors of 20100

List of positive integer factors of 20100 that divides 20100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 67, 75, 100, 134, 150, 201, 268, 300, 335, 402, 670, 804, 1005, 1340, 1675, 2010, 3350, 4020, 5025, 6700, 10050

Step-4: Factors of 20117

List of positive integer factors of 20117 that divides 20100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20100 and 20117. The biggest common factor number is the GCF number.
So the greatest common factor 20100 and 20117 is 1.

Also check out the Least Common Multiple of 20100 and 20117