What is the Greatest Common Factor of 21196 and 21201?

Greatest common factor (GCF) of 21196 and 21201 is 1.

GCF(21196,21201) = 1

We will now calculate the prime factors of 21196 and 21201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21196 and 21201.

How to find the GCF of 21196 and 21201?

We will first find the prime factorization of 21196 and 21201. After we will calculate the factors of 21196 and 21201 and find the biggest common factor number .

Step-1: Prime Factorization of 21196

Prime factors of 21196 are 2, 7, 757. Prime factorization of 21196 in exponential form is:

21196 = 2² × 7¹ × 757¹

Step-2: Prime Factorization of 21201

Prime factors of 21201 are 3, 37, 191. Prime factorization of 21201 in exponential form is:

21201 = 3¹ × 37¹ × 191¹

Step-3: Factors of 21196

List of positive integer factors of 21196 that divides 21196 without a remainder.

1, 2, 4, 7, 14, 28, 757, 1514, 3028, 5299, 10598

Step-4: Factors of 21201

List of positive integer factors of 21201 that divides 21196 without a remainder.

1, 3, 37, 111, 191, 573, 7067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21196 and 21201. The biggest common factor number is the GCF number.
So the greatest common factor 21196 and 21201 is 1.

Also check out the Least Common Multiple of 21196 and 21201