What is the Greatest Common Factor of 21196 and 21203?

Greatest common factor (GCF) of 21196 and 21203 is 7.

GCF(21196,21203) = 7

We will now calculate the prime factors of 21196 and 21203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21196 and 21203.

How to find the GCF of 21196 and 21203?

We will first find the prime factorization of 21196 and 21203. After we will calculate the factors of 21196 and 21203 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 21203

Prime factors of 21203 are 7, 13, 233. Prime factorization of 21203 in exponential form is:

21203 = 7¹ × 13¹ × 233¹

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 21203

List of positive integer factors of 21203 that divides 21196 without a remainder.

1, 7, 13, 91, 233, 1631, 3029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21196 and 21203. The biggest common factor number is the GCF number.
So the greatest common factor 21196 and 21203 is 7.

Also check out the Least Common Multiple of 21196 and 21203