What is the Greatest Common Factor of 21182 and 21196?

Greatest common factor (GCF) of 21182 and 21196 is 14.

GCF(21182,21196) = 14

We will now calculate the prime factors of 21182 and 21196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21182 and 21196.

How to find the GCF of 21182 and 21196?

We will first find the prime factorization of 21182 and 21196. After we will calculate the factors of 21182 and 21196 and find the biggest common factor number .

Step-1: Prime Factorization of 21182

Prime factors of 21182 are 2, 7, 17, 89. Prime factorization of 21182 in exponential form is:

21182 = 2¹ × 7¹ × 17¹ × 89¹

Step-2: 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-3: Factors of 21182

List of positive integer factors of 21182 that divides 21182 without a remainder.

1, 2, 7, 14, 17, 34, 89, 119, 178, 238, 623, 1246, 1513, 3026, 10591

Step-4: Factors of 21196

List of positive integer factors of 21196 that divides 21182 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21182 and 21196. The biggest common factor number is the GCF number.
So the greatest common factor 21182 and 21196 is 14.

Also check out the Least Common Multiple of 21182 and 21196