What is the Greatest Common Factor of 82194 and 82201?

Greatest common factor (GCF) of 82194 and 82201 is 7.

GCF(82194,82201) = 7

We will now calculate the prime factors of 82194 and 82201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82194 and 82201.

How to find the GCF of 82194 and 82201?

We will first find the prime factorization of 82194 and 82201. After we will calculate the factors of 82194 and 82201 and find the biggest common factor number .

Step-1: Prime Factorization of 82194

Prime factors of 82194 are 2, 3, 7, 19, 103. Prime factorization of 82194 in exponential form is:

82194 = 2¹ × 3¹ × 7¹ × 19¹ × 103¹

Step-2: Prime Factorization of 82201

Prime factors of 82201 are 7, 11743. Prime factorization of 82201 in exponential form is:

82201 = 7¹ × 11743¹

Step-3: Factors of 82194

List of positive integer factors of 82194 that divides 82194 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 103, 114, 133, 206, 266, 309, 399, 618, 721, 798, 1442, 1957, 2163, 3914, 4326, 5871, 11742, 13699, 27398, 41097

Step-4: Factors of 82201

List of positive integer factors of 82201 that divides 82194 without a remainder.

1, 7, 11743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82194 and 82201. The biggest common factor number is the GCF number.
So the greatest common factor 82194 and 82201 is 7.

Also check out the Least Common Multiple of 82194 and 82201