What is the Greatest Common Factor of 82137 and 82148?

Greatest common factor (GCF) of 82137 and 82148 is 11.

GCF(82137,82148) = 11

We will now calculate the prime factors of 82137 and 82148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82137 and 82148.

How to find the GCF of 82137 and 82148?

We will first find the prime factorization of 82137 and 82148. After we will calculate the factors of 82137 and 82148 and find the biggest common factor number .

Step-1: Prime Factorization of 82137

Prime factors of 82137 are 3, 11, 19, 131. Prime factorization of 82137 in exponential form is:

82137 = 3¹ × 11¹ × 19¹ × 131¹

Step-2: Prime Factorization of 82148

Prime factors of 82148 are 2, 11, 1867. Prime factorization of 82148 in exponential form is:

82148 = 2² × 11¹ × 1867¹

Step-3: Factors of 82137

List of positive integer factors of 82137 that divides 82137 without a remainder.

1, 3, 11, 19, 33, 57, 131, 209, 393, 627, 1441, 2489, 4323, 7467, 27379

Step-4: Factors of 82148

List of positive integer factors of 82148 that divides 82137 without a remainder.

1, 2, 4, 11, 22, 44, 1867, 3734, 7468, 20537, 41074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82137 and 82148. The biggest common factor number is the GCF number.
So the greatest common factor 82137 and 82148 is 11.

Also check out the Least Common Multiple of 82137 and 82148